Member annoyed with broadcast (9)

I believe the answer is:

crossbeam

'member' is the definition.

'annoyed with broadcast' is the wordplay.
'annoyed' becomes 'cross' (I've seen this before).
'with' means one lot of letters go next to another.
'broadcast' becomes 'beam' ('beam' can be a synonym of 'broadcast').
'cross'+'beam'='CROSSBEAM'

(Another definition for crossbeam that I've seen is " Support".)

I've seen this clue in The Times.

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