As a tattooed dancer who loves (and works in) traditional styles, I would advise you to have options. Be prepared to cover your ink (via creative costumes or make-up), but also be open to the fact that more and more it is not a big deal. Admittedly, I am a bit spoiled by the city I live in (were everyone, their brother, and their mom has or seems to secretly want a tattoo. Oh rebellion, how easy you are to buy!
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Due to my involvement in 1980s era punk rawk and a few various other western subcultures, I was tattooed quite young (and for the record have no regrets, I like my work, though I have not got anything new since I was (gulp) 17) . I also started performing professionally fairly young (by 19 I was working regularly as a dancer while also attending university). In my early 20s I received a complaint about my arm tattoo via a booking agent, and it was the best thing that could have happened. Most of the time I do not purposely cover anything (though I have been accused of being conservatively costumed now and again, but that is my style!), but sometimes I purposely do. I have learned to read clients and to decide what is best in a given situation. And I am prepared for it all!