Yes, tanning does help clear up acne. You would be amazed on how much UV lights from tanning helps you. The UV lights help dry up acne. There is even lotion there to help with acne problems at some tanning salons. I tan twice a week and I get a zit maybe once every other month.
Though, tanning can cover up acne formations on the skin, tanning can actually make acne much worse. It is important to understand the difference between good tanning and bad tanning. I found this article on tanning and acne super interesting and helpful. I recommend it: http://theclearskinproject.com/acne-article/tanning-and-acne/