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                           general:: 
                            Phrase(s): snack off (of) something 
to eat food, bit by bit, in little snacks. (Of is usually retained before pronouns.)  •  Please don’t snack off the turkey so we can get another meal out of it.  •  Who has been snacking off of last night’s roast beef ?
                        
                        
 
                        
                            McGrawhill's American Idioms And Phrasal Verbs