Cock Cozy Share definition Flag A derogatory reference to a woman which claims that the only reason she exists is to keep a cock warm and cozy. -Mike says, "Are you dating that girl Maria?" -Dave says,"Fuck NO! That girl's just my cock cozy." Cock Cozy by KC Master Race April 10, 2011 0 0 Get merch Get the Cock Cozy mug. Buy Now — $32.95 See more merch