Crossword Genius

Record quiet increase in business (10)

Ross

I believe the answer is:

enterprise

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'business' is the definition.
(thesaurus)

'record quiet increase' is the wordplay.
'record' becomes 'enter' ('enter' can be a synonym of 'record').
'quiet increase' becomes 'prise' (I can't explain this - if you can you should give a lot more credence to this answer).
'enter'+'prise'='ENTERPRISE'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for enterprise that I've seen before include "Initiative - undertaking - business" , "Bold resourcefulness" , "Get-up-and-go - venture" , "business concern" , "Company" .)

I've seen this clue in The Telegraph.
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