How long does it take acne to go away after quitting smoking?

Patient: I have quit smoking about a month and a half ago, and my face has broken out in acne horribly. Since I finished my Accutane treatment less than a year ago (I had cystic acne), is it possible that my body is still cleasing from toxins, how long does it take in average?? Or is it a comeback of my previous condition? Can I except this to be temporarily condition??

Symptoms: acne on the chin