Well its a question of whether they are visibly tatoo's or not, I know crew members who have tatoo's but they are on their back or shoulders, where they cannot be seen in uniform. I believe this is fine.
As long as they are not seen I "think" you should be ok, but I dont know your specific cruise line policy.
If however you have it on your forearm or shins then this could be a problem, if your uniform is for excursion or sports staff you may wear shorts.
If its something like a tattoo on your neck that I have seen becoming more popular, well....I think you can kiss goodbye to working on cruise ships.
Never seen the point of tattoos, or piercings other than earrings either. There are some ladies who will regret having them done when things start to drop! I don't find them THAT offensive, just don't see the point.
Some answer questions...I also question answers
I was on the Carnival Sensation Oct 9-13 2011..and I can honestly say (I was a guest) that there was one dancer who had a MASSIVE tattoo across his back shoulders..and in one Show, called Curves, which required the male dancers to be topless, they put flesh coloured tape across his back shoulders to cover the tattoo.. This backfired, as the tape started to peel off and looked absolutely hidious ! It would have been better to just not cover it at all.
It depends on who you work for and what you do...and if you can cover the tattoos. As far as I have seen, if you have a tattoo and work for a cruise line you have to cover it up. However, if you can cover it with a band-aid or flesh-colored tape it is fine. I know a musician who wears long sleeved shirts to cover his arm tattoos, and he has been on ships for three years now.
If you got the job and really are worried, find some makeup or bandages to cover the tattoos up, and you will be fine.