Duke won't now broadcast in city centre (8)
I believe the answer is:
downtown
'city centre' is the definition.
(I've seen this before)
'duke won't now broadcast' is the wordplay.
'duke' becomes 'd'.
'broadcast' indicates an anagram.
'wont'+'now'='wontnow'
'wontnow' anagrammed gives 'owntown'.
'd'+'owntown'='DOWNTOWN'
'in' is the link.
(Other definitions for downtown that I've seen before include "Central Park?" , "Central district in Newcastle" , "Area round city centre" , "Central commercial district (US)" , "central shopping area?" .)