Perhaps JFK left after broadcast (7)
I believe the answer is:
airport
'perhaps jfk' is the definition.
(John F Kennedy International Airport in New York)
'left after broadcast' is the wordplay.
'left' becomes 'port' (left side of a ship - opposite of starboard).
'after' means one lot of letters go next to another.
'broadcast' becomes 'air' (to air on TV).
'port' put after 'air' is 'AIRPORT'.
(Other definitions for airport that I've seen before include "Traveller terminus" , "O'Hare or Kennedy, say" , "Terminal for planes" , "Novel by Arthur Hailey" , "place with lounges for travellers?" .)