Following cut, Freudian slips not broadcast (7)
I believe the answer is:
unaired
'not broadcast' is the definition.
(I've seen this in another clue)
'following cut freudian slips' is the wordplay.
'following' becomes 'f' (used when citing page numbers etc).
'cut' indicates named letters should be taken away.
'slips' is an anagram indicator.
'freudian' with 'f' taken away is 'reudian'.
'reudian' is an anagram of 'UNAIRED'.
(Other definitions for unaired that I've seen before include "Not broadcast" , "Stuffy" .)