Local news after one (3)
I believe the answer is:
inn
'local' is the definition.
(local can mean someone's local pub)
'news after one' is the wordplay.
'news' becomes 'nn' (n is common abbrev for new, news can be plural).
'after' means one lot of letters go next to another.
'one' becomes 'i' (Roman numeral).
'nn' after 'i' is 'INN'.
(Other definitions for inn that I've seen before include "watering-hole" , "Tavern with lodgings" , "Local" , "Pub providing food and accommodation" , "place to eat, drink and sleep" .)