Will acetone damage/attack anti UV coating on glasses?
Without knowing the material your glasses are made of, I would discourage cleaning glasses with acetone.

Often, glasses use no longer use glass as lens material -- polymers like polycarbonate represent an alternative, especially if a high degree of correction is intended, or simply because of weight concerns.  Polycarbonates however withstand ketones (and acetone is an example of ketones) poorly (listing).  As a result, contact with this solvent may blind your glasses permanently.  Happens to safety goggles worn in the chem lab, too -- yet better the goggles, than damage to the eyes.

In addition, what is the material of the frame?  Hence, I recommend a mild detergent; and if this is not working, consult your optician -- they have an ultrasound bath.