Men who go about their day with a shirt on, but no pants or underwear.
"Cocking" can be used with other terms. Example: Cowl Cocking, when a man wears only a super heros cowl, much like Batmans cowl, but no pants or underwear.
“I went to the Phish show in Phoenix last night. Man. It was insane!! I lost my phone. We were forced to hang out in a neighborhood referred to as the Icebox by the locals. Dead people on the roof of Burger King. It was a whole thing. Just when I thought the worst was over, I awoke shirt cocking in a room full of men. See you next time Phoenix. This time I’ll have a belt”
verb: meaning to wear only a shirt and no pants or underwear, hence just a shirt and cock. However, can also be applied to girls. May have first been created at Burning Man.
I only saw his little pale butt as he was shirtcocking when he chased my cat Snickers out of the room.