Management give short broadcast, making error (9)
I believe the answer is:
oversight
'broadcast making error' is the definition.
'oversight' can be an answer for 'error' (oversight is a kind of error). I'm not sure about the 'broadcast making' bit.
'management give short' is the wordplay.
'management' indicates anagramming the letters.
'give'+'short'='giveshort'
'giveshort' anagrammed gives 'OVERSIGHT'.
(Other definitions for oversight that I've seen before include "act of negligence" , "Slip-up" , "Supervisor's charged with this" , "error" , "Management" .)