### Clue: Perhaps a local date on musical instrument associated with cathedral city (4,2,4)
### Answer: DUKE OF YORK 
 ### Explanation: Definition: Perhaps a local

**D** (date) *on* **UKE** ("musical instrument") + **OF** ("associated with") + **YORK** ("cathedral city")
 
*Duke of York is a popular pub (i.e. your "local") name.