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Agree with eating cake, creating division (7)

Ross

I believe the answer is:

subunit

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'division' is the definition.
Both the definition and answer are singular nouns.
Perhaps you can see a link between them that I don't see?

'agree with eating cake' is the wordplay.
'agree with' becomes 'suit' (suiting is a kind of agreeing. I am not sure about the 'with' bit.).
'eating' indicates putting letters inside.
'cake' becomes 'bun' (bun is a type of cake).
'suit' enclosing 'bun' is 'SUBUNIT'.

'creating' acts as a link.

Can you help me to learn more?

(Other definitions for subunit that I've seen before include "Distinct component of something bigger" , "Constituent" .)

I've seen this clue in The Daily Express.
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