What Did Billy Joel Mean by Chubby Checker Psycho? In Billy Joel’s song "We Didn’t Start the Fire, he references Chubby Checker Psycho, a phrase that can be interpreted as a playful juxtaposition of two prominent cultural figures from the 1950s and 1960s. Chubby Checker was famous for popularizing the dance craze "The Twist," while "Psycho" refers to Alfred Hitchcock's iconic 1960 film, which is known for its suspense and psychological horror.