" 10 Jesus called the crowd to him and said, “Listen and understand. 11 What goes into a man’s mouth does not make him ‘unclean,’ but what comes out of his mouth, that is what makes him ‘unclean.’ ... 17 “Don’t you see that whatever enters the mouth goes into the stomach and then out of the body? 18 But the things that come out of the mouth come from the heart, and these make a man ‘unclean.’ 19 For out of the heart come evil thoughts, murder, adultery, sexual immorality, theft, false testimony, slander. 20 These are what make a man ‘unclean’; but eating with unwashed hands does not make him ‘unclean.’” Matthew 15:10-11, 17-20.
I think this verse would apply just as much to tattoos. What is God worried about? Not whether you have artistic designs on the outside of your body, but what is coming out of your heart and how you are treating other people.
That said, I hope to have tattoos one day, but it will probably be a loooong time before I get them. First off, because I don't want a crappy artist doing the job, it's probably going to cost a fortune. Second off.... okay, so maybe there isn't as much of a second off; it's mainly just a money issue.