Broadcast left for JFK, possibly? (7)
I believe the answer is:
airport
'jfk possibly?' is the definition.
(John F Kennedy International Airport in New York)
'broadcast left' is the wordplay.
'broadcast' becomes 'air' (synonyms).
'left' becomes 'port' (left side of a ship - opposite of starboard).
'air'+'port'='AIRPORT'
'for' is the link.
(Other definitions for airport that I've seen before include "Destination for planes" , "Fliers' terminus" , "E.g. Prestwick, Gatwick" , "Heathrow, for example" , "Eg, Orly, Schiphol" .)