Cheat on bouncer, odd character (9)
I believe the answer is:
screwball
'odd character' is the definition.
'cheat on bouncer' is the wordplay.
'cheat' becomes 'screw' ('screw' can be a synonym of 'cheat'**).
'on' means one lot of letters go next to another.
'bouncer' becomes 'ball' (something that bounces).
'screw'+'ball'='SCREWBALL'
(Other definitions for screwball that I've seen before include "Idiot" , "Zany" , "Crazy (person)" , "Freak" , "Card" .)