Local people's unusually bulbous heads (3)
I believe the answer is:
pub
'local' is the definition.
(one's local pub)
'people's unusually bulbous heads' is the wordplay.
'heads' suggests taking the first letters.
The first letters of 'peoples unusually bulbous' is 'PUB'.
(Other definitions for pub that I've seen before include "Boozer" , "Place to drink" , "Slug and Lettuce, perhaps" , "The humble local tavern" , "Alehouse" .)