Jay Z Is a Puff Daddy, Smoking Cigars Through the Becky Buzz

Jay Z ain't the least bit worried about "Becky" or any alleged affairs ... as long as he can light up a Cuban.

Jay was chilling in Miami, smoking a cigar with a friend on the eve of Beyonce's Formation World Tour kicking off down there.

It's the first time we've seen him since Bey dropped "Lemonade," and while the Beyhive wonders if he cheated -- Jigga looks every bit like a guy who's relaxed and comfortable knowing his wife's bringing in HUGE money. Even if she's airing their dirty laundry to do it.

He'll smoke to that!