Put back what can control art gallery (9)
I believe the answer is:
reinstate
'put back' is the definition.
(thesaurus)
'what can control art gallery' is the wordplay.
'what can control' becomes 'reins'.
'art gallery' becomes 'tate' (I've seen this before).
'reins'+'tate'='REINSTATE'
(Other definitions for reinstate that I've seen before include "Put back in position" , "Re-establish" , "Restore to a former position" , "Give back" , "Restore to a former condition" .)