Neighbouring (5)
(Other definitions for local that I've seen before include "Stopping regularly" , "(Pub) of the district" , "Pub - not far away" , "Near - one's pub" , "Pub, maybe" .)
'neighbouring' is the definition.
(I've seen this before)
This is the entire clue.
(Other definitions for adjacent that I've seen before include "Neither opposite nor hypotenuse?" , "Contiguous" , "Adjoining, lying near" , "Close by" , "Lying near, bordering" .)