Armie Hammer looks like the most clean cut criminal of all-time in this mug shot -- snapped moments after his arrest for marijuana possession in Texas.
Armie was popped back in November ... in Sierra Blanca, TX -- the same town where Willie Nelson and Snoop Dogg were busted.
Police claim they found three pot cookies during the bust ... and one brownie.
Prosecutors dropped the case because Armie was only alleged to have .02 ounces of weed. He spent a day in jail before paying a $1,000 bond.