"Polish off" is a phrase used to refer to finishing something quickly or completely. The antonyms of this phrase would involve slowing down or leaving something unfinished. Some antonyms could be "savor," "savour," or "enjoying slowly," which involve taking time to appreciate something. Another antonym could be "procrastinate," which means delaying or postponing the completion of a task. "Leave incomplete" or "abandon" may be other antonyms for "polish off," which involves leaving something unfinished or incomplete. Whatever the antonym may be, it contrasts the idea of quickly consuming or completing a task or activity.