Tattoos depend on the guy. I am not really attracted to guys with full sleeves, but there have been a few guys I would not have let that stop me! A bit of ink here or there is fine.
What I would NOT like are face/neck/hand tattoos. Not only because they can't be covered, but they are generally not attractive ones, at least what I have seen. I'm fairly hip and trendy but not really "alternative" or "biker" style, so those don't really do it for me.
So if a guy is a good match for me, the kind of guy I find attractive, my style of person, ink won't affect whether or not I go for him. But no ink is great too. If someone asked this during the "should I get a tattoo" decision, I'd say don't do it. It's more likely someone would insist on no ink than someone saying "gosh, I'd date him if only he had artwork on his chest." You can always get it later, you can't (realistically and completely) un-do tattoos.