Get rid of outhouse (4)
I believe the answer is:
shed
I believe this clue is a double definition.
'get rid' is the first definition.
(shed can mean to get rid of or discard)
'outhouse' is the second definition.
(I've seen this before)
'of' acts as a link.
(Other definitions for shed that I've seen before include "Take off in hut?" , "Discard; small building" , "See 12" , "Remove clothes in small hut" , "One-storeyed outbuilding" .)