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Said it’s an incentive for a lightweight (5)

Ross

I believe the answer is:

carat

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'a lightweight' is the definition.
Although both the answer and definition are singular nouns, I can't see how they can define each other.

'said it's an incentive' is the wordplay.
'said' shows a homophone (sound like).
'it's an incentive' becomes 'carrot' (as in a carrot and stick).
'carrot' sounds like 'CARAT'.

'for' acts as a link.

Can you help me to learn more?

(Other definitions for carat that I've seen before include "Weight of ice" , "Gemstone weight unit" , "Not a large weight" , "Unit for precious stone weights" , "Metal weight" .)

I've seen this clue in the Evening Standard.
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