There are several things to consider.
As someone who used to tattoo, old-school tattoo artists frown on tattooing certain places on people considered 'outside of the profession'. This is for several reasons.
Firstly, if you work anywhere on a professional level or 'in the service industry', sorry but people aren't open-minded enough to let those kinds of tattoos slide. If you're going to get tattooed, if you are not an artist or piercer, I would suggest that any place that you can actually cover up with clothing. A carefree youth can lead to a complicated adulthood.
Also consider the area that you are getting tattooed in. The wrist and hand are very thin-skinned. Unless you have an artist which has been going at it for years, there is a lot that can go wrong there. Have you ever seen a tattoo that looked as if it had some sort of 'shadow' behind it? That's a 'smoked' tattoo. What happens is the ink being put into your skin spreads beneath it, and depending on the skill of the artist, it can go too deep or spread too much. It's easier to 'smoke' someone in areas of thinner skin.
Be sure to check the portfolio of the artist that you want to tattoo you. Make sure they've been doing it a long time and they have a large and diverse portfolio. Don't let some amateur hack give you something you'll have to live with the rest of your life that you don't really like.