I am not sure, either.

来源: 于 2013-12-31 09:53:40 [博客] [旧帖] [给我悄悄话] 本文已被阅读：次

"come off of" means "get rid of". I do not know what "sugar" implies  in the lyrics. It may refer to candy, addiction, or something else. 
Well, just my two cents.