Game birds, all I shot (9)
I believe the answer is:
billiards
'game' is the definition.
(billiards is a kind of game)
'birds all i shot' is the wordplay.
'shot' is an anagram indicator.
'birds'+'all'+'i'='birdsalli'
'birdsalli' with letters rearranged gives 'BILLIARDS'.
(Other definitions for billiards that I've seen before include "Table game at which Mary Queen of Scots excelled" , "Game played with balls on table with pockets" , "Indoor sport" , "Game with three balls" , "Ball game" .)