Drunkenly had rum in cathedral city (6)
I believe the answer is:
durham
'cathedral city' is the definition.
(I've seen this before)
'drunkenly had rum' is the wordplay.
'drunkenly' is an anagram indicator.
'had'+'rum'='hadrum'
'hadrum' anagrammed gives 'DURHAM'.
'in' is the link.
(Other definitions for durham that I've seen before include "NE city" , "Bede's resting place" , "English county palatine" , "Northern diocese" , "English cathedral and university city" .)