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At home by mistake you took food, say - get the hint? (9)

Ross

I believe the answer is:

insinuate

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'get the hint?' is the definition.
'insinuate' can be an answer for 'get' (thesaurus). I am not certain of the 'the hint?' bit.

'at home by mistake you took food' is the wordplay.
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'by' says to put letters next to each other.
'mistake' becomes 'sin'.
'you' becomes 'u' (commonly used in online communication).
'took food' becomes 'ate' (I've seen this before).
'in'+'sin'+'u'+'ate'='INSINUATE'

'say' is the link.

Can you help me to learn more?

(Other definitions for insinuate that I've seen before include "Subtly introduce" , "Annuities (anag.)" , "Imply about annuities" , "Indirectly suggest (something unpleasant)" , "Intimate, imply" .)

I've seen this clue in the Sydney Morning Herald.
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