Broadcast about doubtful case for asylum (6)
I believe the answer is:
bedlam
'asylum' is the definition.
(Bedlam is an example)
'broadcast about doubtful case' is the wordplay.
'broadcast' becomes 'beam' ('beam' can be a synonym of 'broadcast'**).
'about' is an insertion indicator.
'case' means to remove the middle letters.
'doubtful' with its middle taken out is 'dl'.
'beam' placed around 'dl' is 'BEDLAM'.
'for' is the link.
(Other definitions for bedlam that I've seen before include "Blamed for noisy uproar" , "Madhouse - uproar" , "Complete chaos" , "Noisy confused state" , "Blamed for pandemonium" .)