Live broadcast centre source (5)
I believe the answer is:
dwell
'live' is the definition.
(synonyms)
'broadcast centre source' is the wordplay.
'centre' means to look at the middle letters.
'source' becomes 'well' (well is a kind of source).
The middle letter of 'broadcast' is 'd'.
'd'+'well'='DWELL'
(Other definitions for dwell that I've seen before include "Settle" , "Lodge" , "Think moodily (on something)" , "Live (in a place)" , "Reside - linger" .)