Yousseph "Chico" Slimani was a contestant on The X Factor in 2005, and although he didn't win he has had some success with a musical career, especially with his song "Chico Time" (taken from his X Factor catchphrase: "What time is it? It's Chico time!")
Leonard Marx of the Marx Brothers was given this [nick]name. Alledgedly because he liked to chase women ("chicks"). Chico Marx is possibly the most famous bearer of this name.