Yes, smoking does ages your face faster.

Recently, researchers from Case Western Reserve University did a study which comparing the faces of identical twins. In the annual Twins Day Festival in Twinsburg, Ohio, they did this study to identify 79 pairs of twins in which one sibling smoked and the other didn't.
They took standardized photos of these identical twins, and the result confirmed that the habit does indeed age a smoker's skin prematurely.

The study indicates that smokers are more easily to get bags under their eyes and wrinkles around their lips earlier than non-smokers. I personally think if the risk of getting lung cancer or heart attacks and strokes could not stop smokers from continuing smoking, this might be a better reason to stop smoking.

Below are some photos used in this study. The twin on the left does not smoke, and the twin on the right is a smoker. After seen these photos, will you still continue smoking?