Pigeon sheds frequently seen in outskirts of Leeds (5)
I believe the answer is:
lofts
'pigeon sheds' is the definition.
(loft can mean a pigeon house)
'frequently seen in outskirts of leeds' is the wordplay.
'frequently' becomes 'oft' (oft can mean frequently, eg oft-quoted).
'seen in' indicates putting letters inside.
'outskirts of' suggests removing the centre (only letters on the outskirts).
'leeds' with its middle taken out is 'ls'.
'oft' placed into 'ls' is 'LOFTS'.
(Other definitions for lofts that I've seen before include "Rooms at tops of houses" , "Propels a ball high in the air" , "Places for pigeons" .)