Bedroom in Bradford or Manchester (4)
I believe the answer is:
dorm
'bedroom' is the definition.
(I have seen 'Communal bedroom ' mean 'dorm' so perhaps 'bedroom' could also mean 'dorm')
'in bradford or manchester' is the wordplay.
'in' indicates the answer is hidden within the clue.
'DORM' is hidden in the letters of 'bradford or manchester'.
(Other definitions for dorm that I've seen before include "where several people can sleep" , "Place to retire" , "Boarding school bedroom (abbr)" , "Sleeping quarters (abbr)" , "Where kippers might be" .)