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Rihanna and A$AP Rocky have been dating for years, and it certainly shows because they're now super comfy and very loving with each other in the public eye.

Just check out video, obtained by TMZ, which captures the singing icon and the rap star attending Wednesday night's 38th Footwear News Achievement Awards in NYC.

The event celebrates the most influential people in the footwear biz — and A$AP snagged a Collaboration of the Year Award with Puma for their work together.

Ty Law is lovin' Ryan Day at Ohio State -- after all, his Wolverines have beaten the coach four straight years -- but he tells TMZ Sports even if he weren't a Michigan alum ... he'd seriously encourage the school to keep the guy on its sidelines.

Law made it clear on Wednesday -- just a few days after the Buckeyes dropped another game to its hated rival, 13-10 -- that despite Day's recent inability to defeat UM, he would still rather roll with the 45-year-old for the foreseeable future.

"You really think about it," Law said, "when you peel the onion back, do you really want to fire a guy who's always competitive, who's always in the hunt for the national championship?"

Kris Jenner might have met her match in the cougar department -- a real mountain lion is prowling around her and her daughter Khloe Kardashian's Hidden Hills neighborhood!

Folks in the community tell TMZ ... the big cat was hanging out in a tree Wednesday morning, just a few houses down from Kris' pad, and it casually weaved in and out of tree branches before scaling down in a split second.

Mountain lion, which are native to the nearby Santa Monica Mountains, can hit speeds of up to 50 mph -- and this one wasn't shy about showing off. After a quick hangout on a neighbor's lawn, we're told it darted right back up the tree.

OnlyFans model Sophie Rain shocked people with the claim she's made more than $40 million so far this year ... but 2 adult stars are saying her math is just not mathing.

Here's the skinny ... Sophie made international headlines when she said a boatload of money has been dropped on her this year thanks to OnlyFans ... claiming at least one fan tipped her $4 million!

Farrah Abraham tells TMZ ... she is all about supporting other women on OnlyFans and in the adult-film industry -- but she just does not buy what Sophie is selling.

Diddy will be getting his freak on over Christmas -- but it's not what you think -- his federal jail is giving him several options to play sports and games ... with a special holiday spread.

Our sources in the federal government tell us inmates at MDC Brooklyn -- where Diddy is being held as he awaits trial in his sex trafficking case -- will be able to participate in some friendly competition on Christmas Day ... including card games and dominos.

In addition to a Spades tournament and a dominos competition, Diddy and his fellow inmates will also be able to take part in a 3-on-3 basketball tourney ... and a soccer competition.

Haliey Welch is getting into Harvard ... or, at least, a famous humor magazine founded by Harvard undergrads way back in the day.

We got the "Hawk Tuah" girl on Beverly Boulevard in Los Angeles on Wednesday and our photog asked her about the rumor she was getting inducted as an honorary member of the organization ... an honor previously bestowed on Aerosmith, Winston Churchill, Billy Crystal, Leon Kay, Elon Musk, Adam Sandler and more.

Haliey says the rumors are true and she's thinking about heading up to Cambridge, Massachusetts to accept the honor.

The family of late TikToker Jiare Schneider is facing harassment as they mourn the Internet personality ... from fraudsters making threats about Jiare's well-being, despite his recent passing.

The TikToker's sister, Jasnique Woods, tells TMZ ... before and after the confirmation of Jiare's death, the family received a number of threats from swindlers -- who claim they're holding JS hostage, demanding a ransom for his release.

Remember, Jiare was missing for 10 days before he was found dead last week in Georgia after an extensive search. His family posted missing-person flyers in an attempt to get information on his disappearance ... which is how crooks got ahold of Jasnique's phone number.

Leonardo DiCaprio is on the hunt for some new artwork, but it appears he isn't consulting a very important person in his life ... model girlfriend Vittoria Ceretti.

The Oscar winner hit up an Art Basel event in Miami Tuesday evening, where he flew noticeably solo while checking out the wide array of art offered up.

While Leo and Vittoria have been seen together on dates and vacations across the globe, LD found himself at the center of quite the sausage fest ... mingling with a group of art bros instead of his usual brunette arm candy.

Vicki Gunvalson clearly can roll with the punches ... even the jabs that came with her recent hot mic moment on Nick Viall's podcast, The Viall Files, that has fans buzzing.

"The Real Housewives of Orange County" OG tells TMZ … she gave her blessing for Nick's podcast team to use the now-viral recording where she forgot to hang up the call after their interview. She tells us Nick's side reached out before making the clip public ... and she played it cool. She says she honestly couldn’t remember what she said because she thought she’d already hung up ... so, go to town!

But Vicki has a condition. In exchange for the use of her momentary mishap, she had her team reach out to Nick's team on Wednesday, asking him to now appear on her podcast, "My Friend, My Soulmate, My Podcast."

Hannah Kobayashi's aunt says the family is unsure what exactly is happening with her, even though police say she crossed the border into Mexico.

Larie Pidgeon joined us on "TMZ Live" Wednesday and she told us law enforcement is not showing them footage of Hannah leaving the United States.

Cops say Hannah was alone and she was traveling with her luggage when she crossed the border and there's been no evidence of human trafficking or any criminal activity ... but Larie's not ready to rule any of that out.

Liam Payne's good friend, who Buenos Aires authorities are going after for allegedly abandoning the late singer during a bender, says he's not the one at fault here ... instead pointing the finger at the hotel where Liam was staying.

Roger Nores' legal team filed new documents, obtained by TMZ, in Argentina and he basically makes the argument that he's not the one who should be investigated ... claiming the CasaSur Palermo Hotel played a big role in Liam's death.

In the docs, Roger says the hotel did NOT have a 24-hour doctor available ... even though he says they're required to have one under the law.

The woman who tried to calm the little girl throwing food inside a Walmart in a viral video says the kid was scared because she was separated from her family.

Amber Gregory is the woman in the black outfit who shows up at the scene and attempts to soothe the little girl as she throws and stomps on packages of food inside the store.

Lots of folks thought she was the kid's mom, but Amber says she was just trying to help the little girl ... because she reminded her of her own child.

Francesca Eastwood just dodged a felony domestic violence charge ... and it looks like she’s celebrating a little too hard, judging by these pics from her wild night out.

Clint Eastwood’s daughter was living her best life, stumbling out of West Hollywood’s Chateau Marmont on Tuesday, when she took a chaotic tumble to the ground.

The pics will definitely give you a laugh -- it's clear she partied a little too hard 'cause it wasn't even like she was rocking heels to throw off her balance. Nope, she was in comfy sneakers and still went down!

Barry Keoghan is focusing on his job in the wake of his split from Sabrina Carpenter ... shooting movie scenes in downtown Los Angeles after news of their breakup.

The Irish actor was spotted on the set of "Crime 101" ... rocking platinum blond hair for some scenes at a Denny's ... the first time we've seen Barry since the split.

Barry appeared to have a motorcycle helmet and jacket in hand as he walked into the store as cameras were rolling. The thriller is due out next year and his costars include Halle Berry, Chris Hemsworth and Nick Nolte ... among others.

Disney fans have nothing to worry about ... 'cause the upcoming horror flick based on "Steamboat Willie" is not going to undo any of Mickey's magic, says a star of "Screamboat."

Here's the deal ... the ultra-bloody indie horror movie takes the OG Mickey Mouse character and drops him in a slasher film -- all thanks to the character now being in the public domain.

Tyler Posey, who stars in "Screamboat," tells TMZ ... there is nothing for Mouseketeers to worry about ... 'cause the the killer rodent in his movie is clearly not Mickey.

Tina Knowles is one proud mama -- so confident in Beyoncé’s talent, even the biggest achievements don’t surprise her anymore!

We caught up with Tina in West Hollywood Tuesday, and while she said it was nice to see her daughter named the Greatest Pop Star of the 21st Century by Billboard, she made it clear -- titles like that are just part of the gig for the both of them.

Check out the clip ... 'cause Tina also spilled the tea on Beyoncé’s upcoming halftime performance for one of the NFL’s Christmas Day matchups on Netflix!