Bishop seen around university brought in to cathedral city (5)
I believe the answer is:
truro
'cathedral city' is the definition.
(I've seen this before)
'bishop seen around university brought in to' is the wordplay.
'bishop' becomes 'rr' (abbreviation for Right Reverend).
'seen around' is an insertion indicator.
'university' becomes 'U' (abbreviation for university).
'brought in' indicates putting letters inside.
'rr' going around 'u' is 'rur'.
'rur' placed into 'to' is 'TRURO'.
(Other definitions for truro that I've seen before include "Southwest city" , "Cornish cathedral city" , "Cape Cod town: county town of Cornwall" , "City of Cornwall" , "The Island of Doctor - (H. G. Wells)" .)