Should I Wrap My New Tattoo and For How Long? | TatRing Nov 10, 2015 . The "cling film" legend goes like this: one of those bike enthusiasts decided to wrap his new tattoo in see-through plastic, so he could show all his mates without taking off its cover. It worked. His mates could now see his new tattoo, and he didn't flick blood and ooze around. (This was at a time and age..