I teach 8th grade and when we discuss tattoos (it comes up in the STD section of the curriculum), i tell them to make sure anything they get piercing or tattoo wise is a) not a fad, b) done at a real shop that shows you they are using fresh needles, and c) somewhere they can cover up when they need to. I use myself as an example, as in college I had pink hair, multiple piercings (you can still see the scars if you look close enough) on my face, and I still have tattoos on my collarbone and shoulder. I have to admit the tattoos only because two of them saw me in a tank top at Disney! I thought I was safe three hours away!
Anyway, that was fine when I was in college, and even when I worked in children's theatre, but it doesn't fly as a teacher. So when I'm in front of them, it's khakis, polos, and hair in blonde ponytail every day. But had I not gotten things that could be reversed or hidden in my punk phase, I would be up a creek without a paddle.
Of course, I still love my tattoos (a ladybug for luck in my shoulder and a simple star on my collarbone), so I'm not anti tattoo...just pro responsible tattoo. Tell her if she wants one she should wait until she has a steady job in a field that allows it. You never know when are you going to switch careers.