Both my tats (the one I have and the one I'm getting) are in coverable areas as far clothing is concerned, if I was performing and was made to wear shorts or a tank top I'd have to come up with something. Of course the shape I'm in right now, if I was made to wear shorts or a tank top the last problem the director would have was my tattoo.
As for Disney, they will actually allow cast members to have Tattoos for non-guest interactive positions, or they will require you to cover it with a band aid or make up. However realize this, when you go for the interview that puppy better be covered or they will opt for the non inked candidate.
I would seriously contemplate placement though. It's a very cool thing to have, but not always accepted as the most professional, no matter what the design.