Any licensee under this chapter who is convicted of a violation of any of the offenses enumerated in subdivision (8) of section 20-320 may incur a forfeiture of his or her license and all moneys that may have been paid for such license. The clerk of any court in which such conviction has been rendered shall forward to the commission without charge a certified copy of such conviction. The commissioner may revoke such licensee’s license after proceedings as provided in section 20-321. Such notice shall be conclusive of the revocation of such license. Application for reinstatement of such license shall be subject to the provisions of section 46a-80.