Broadcast following prince and partner (4)
I believe the answer is:
pair
'partner' is the definition.
(both can mean to form a pairing)
'broadcast following prince' is the wordplay.
'broadcast' becomes 'air' (to air on TV).
'following' is a charade indicator (letters next to each other).
'prince' becomes 'p' (abbreviation for prince).
'air' put after 'p' is 'PAIR'.
'and' acts as a link.
(Other definitions for pair that I've seen before include "Two of a kind, as in cards" , "item" , "how braces come" , "E.g. two aces; mate" , "2" .)