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.
Look at that dude, he's totally shirt cocking.
the act of wearing only a t-shirt and no bottoms, thus exposing ones cock
When I went to burning man, I noticed a lot of people from the Meghan's Law website shirt cocking around me.