The game everybody may be bent on (7)
I believe the answer is:
netball
'the game' is the definition.
(netball is a kind of game)
'everybody may be bent on' is the wordplay.
'everybody' becomes 'all' (I've seen this before).
'may' indicates anagramming the letters (I've seen 'might' mean this (I've seen this in other clues)).
'on' says to put letters next to each other.
'bent' anagrammed gives 'netb'.
'all' put after 'netb' is 'NETBALL'.
(Other definitions for netball that I've seen before include "activity no longer associated solely with girls" , "Team game/sport" , "Team game for tall Ben" , "Sport whose players wear bibs" , "Team sport" .)