Vegetable to go after in place of game (6,5)
I believe the answer is:
squash court
'place of game' is the definition.
'vegetable to go after' is the wordplay.
'vegetable' becomes 'squash' (squash is a kind of vegetable).
'to go after' becomes 'court' (both can mean to romantically pursue someone).
'squash'+'court'='SQUASH COURT'
'in' acts as a link.
(Other definitions for squash court that I've seen before include "Walled racket sport arena" , "Indoor ball game venue -- SAS cut our HQ (anag)" , "sporting venue" , "Indoor space for a racket sport" , "Room for game" .)