Search finished after game (2,7)
I believe the answer is:
go through
'search' is the definition.
(going through is a kind of searching)
'finished after game' is the wordplay.
'finished' becomes 'through' ('through' can be similar in meaning to 'finished'**).
'after' means one lot of letters go next to another.
'game' becomes 'go' (go is a kind of game).
'through' after 'go' is 'GO THROUGH'.
(Other definitions for go through that I've seen before include "Suffer from" , "brave" , "Face" , "be accepted" , "Use up - experience" .)