Broadcast mentioned having vision (7)
I believe the answer is:
sighted
'having vision' is the definition.
(with sight)
'broadcast mentioned' is the wordplay.
'broadcast' indicates a 'sounds like' (homophone) clue (how the word might sound on the radio or TV).
'mentioned' becomes 'cited' ('cite' can be a synonym of 'mention').
'cited' sounds like 'SIGHTED'.
(Other definitions for sighted that I've seen before include "Spotted" , "Noticed" , "Seen" , "Saw; able to see" , "Glimpsed" .)