Crossword Genius

Women's Institute not involved in broadcasting work (4)

Ross

I believe the answer is:

song

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'work' is the definition.
The answer and definition can be both acts as well as being singular nouns.
Perhaps you can see a link between them that I don't see?

'women's institute not involved in broadcasting' is the wordplay.
I cannot really see how this works, but
'broadcasting' could be 'on' and 'on' is found within the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for song that I've seen before include "Carol, for example" , "Piece of vocal music" , "Words set to music" , "Musical number" , "Melody (which is cheap to go for)" .)

I've seen this clue in The Telegraph.
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