I did say no to the nose though- I have heard the hole never closes, is that true?
It depends how long you've had it. With all piercings, they close up if you take the piercing out within a certain time frame, and they will all eventually heal completely so that they will never close up (or take decades to close up anyway, and leave a scar). When that happens depends on where the piercing is. I've had my nose pierced for 8 years and it closed up recently after I lost the ring and didn't replace it for a couple of months, I reopened the hole by stuffing a safety pin in it lol.

I think it's great for teenagers to be allowed to express themselves through body art, I don't know that I would go so far as a tattoo for a teenager (which is illegal even with parental consent, in WA anyway) but piercings are good and they pretty much always close up once you take the jewellery out.