Perhaps a local date on musical instrument associated with cathedral city (4,2,4)
I believe the answer is:
duke of york
'perhaps a local' is the definition.
(common name for a pub - local can mean a pub)
'date on musical instrument associated with cathedral city' is the wordplay.
'date on' becomes 'd' (abbreviation e.g. dob - date of birth. I am not sure about the 'on' bit.).
'musical instrument' becomes 'uke' (uke is a kind of musical instrument).
'associated with' becomes 'of' (of can mean associated with or coming from).
'cathedral city' becomes 'York' (York is a cathedral city).
'd'+'uke'+'of'+'york'='DUKE OF YORK'
Can you help me to learn more?
(Other definitions for duke of york that I've seen before include "Pub" , "having an up-and-down March?" .)