Perceived again, her dear broadcast (7)
I believe the answer is:
reheard
'perceived again' is the definition.
('heard' is an answer for 'perceived' so perhaps 'reheard' is OK for 'perceived again')
'her dear broadcast' is the wordplay.
'her' becomes 'reh' (I can't explain this - if you can you should believe this answer much more).
'broadcast' indicates anagramming the letters (letters scattered or cast around).
'dear' with letters rearranged gives 'eard'.
'reh'+'eard'='REHEARD'
Can you help me to learn more?
(Another definition for reheard that I've seen is " Again tried".)