Graduate lecturer pockets big profit from game (9)
I believe the answer is:
badminton
'game' is the definition.
(badminton is a kind of game)
'graduate lecturer pockets big profit' is the wordplay.
'graduate' becomes 'BA' (someone with a Bachelor of Arts degree).
'lecturer' becomes 'don' (I've seen this before).
'pockets' indicates putting letters inside.
'big profit' becomes 'mint' (as in making a mint).
'don' placed around 'mint' is 'dminton'.
'ba'+'dminton'='BADMINTON'
'from' is the link.
(Other definitions for badminton that I've seen before include "One sport" , "Game played with a shuttlecock" , "22 Across sport" , "Racquet sport" , "A sport; Beaufort seat" .)