or quite simply, "to go buffalo" or "do it buffalo (style)" means consume everything for all its uses and waste nothing.
Taken from Native American tradition of using every part of Buffalo after killing it.
No relation to city in NY, wings, etc.
"Wasnt that someone else's beer?"
"Yeah well they left it and I bought the beer so I'm going buffalo style and not letting any go to waste."
"You're taking a doggy bag home from this wedding?"
"I grew up poor so i hate to waste food- i live buffalo style"