Does quitting smoking help the skin look better? do the wrinkles it causes go away?

Smoking & wrinkles: Smoking can speed up the normal aging process of your skin, contributing to wrinkles. These skin changes may occur after only 10 years of smoking. The more cigarettes you smoke and the longer you smoke, the more skin wrinkling you're likely to have — even though the early skin damage from smoking may be hard for you to see. Stopping smoking will help your skin.

Yes: Smoking is terrible for our entire physiology- skin, blood vessels, lungs, bladder, etc etc. Continuing to smoke will continue to damage most every organ in your body. Quitting smoking may be the most important thing you could do to improve your health, which of course includes your skin.