The art enclosure provides cheer (7)
I believe the answer is:
hearten
'cheer' is the definition.
('hearten' can be a synonym of 'cheer')
'the art enclosure provides' is the wordplay.
'provides' says the answer is hidden in the clue.
'HEARTEN' is hidden within 'the art enclosure'.
(Other definitions for hearten that I've seen before include "Encourage in Teheran" , "Inspire anew" , "Encourage or cheer in cardiac manner" , "Make cheerful" , "Inspirit" .)