Fool breaking game? (7)
I believe the answer is:
snooker
I believe this clue is a double definition.
'fool' is the first definition.
(snooker can mean to trick or fool)
'breaking game?' is the second definition.
(a player 'breaks' at the start of a snooker game)
(Other definitions for snooker that I've seen before include "Game played on a billiards table" , "Potting game" , "Ballgame" , "Tabletop game" , "Game with coloured balls" .)