Definitely get it checked out. Can be as simple to deal with as earwax or an ear infection or as difficult/permanent as noise-induced hearing loss coupled with tinnitus.
Earbuds/headphones aren't the only culprit behind ringing in the ears, btw. Does your child go to concerts? Play in band/orchestra? Help with lawn care (lawn mowers, leafblowers)? There are so many causes of noise-induced hearing loss and tinnitus.
http://www.nidcd.nih.gov/health/hearing/pages/tinnitus.aspx