Chute around outbuilding (3)
I believe the answer is:
hut
'outbuilding' is the definition.
(thesaurus)
'chute around' is the wordplay.
'around' says the answer is hidden in the clue.
'HUT' can be found hidden inside 'chute'.
(Other definitions for hut that I've seen before include "Small crude shelter" , "Small wooden shelter" , "Small roughly-made house or shelter" , "Simple abode" , "Small shelter as for watchman" .)