Baton (4)
(Other definitions for rouge that I've seen before include "Red face powder" , "actor may apply it" , "Ferric oxide powder" , "Red make-up" , "Powder for the cheeks" .)
'baton' is the definition.
(thesaurus)
This is all the clue.
(Other definitions for club that I've seen before include "Playing card; social organisation" , "blackjack" , "may give members benefits" , "'Short stick, card suit and association (4)'" , "woman expects to be in" .)
(Other definitions for wand that I've seen before include "Magic baton" , "Conjuror's stick" , "Fairy's stick" , "Magician's accessory" , "Magician's prop" .)