The song title refers to "Buffalo," a hip fashion and style collective formed by Scotsman Ray Petri. Neneh Cherry first encountered them during a plane journey to Tokyo for a modeling job and the singer began a creative and personal relationship with one of the Buffalo crew, photographer and musician Cameron McVey, that continues to this day. Cherry told Uncut magazine
"Buffalo was obviously a reference to the Buffalo Collective. It never had anything to do with Malcolm McLaren's 'Buffalo Gals
,' everybody gets mixed up. Buffalo is also a reference to being a survivor, to being headstrong, with horns on your head, to fence your way through the ups and downs of life."