Introduce change - money off! (9)

I believe the answer is:

reduction

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'money off' is the definition.
I can't tell whether this definition defines the answer.

'introduce change' is the wordplay.
'change' indicates an anagram.
'introduce' anagrammed gives 'REDUCTION'.

Can you help me to learn more?

(Other definitions for reduction that I've seen before include "Introduce by way of discount" , "Drop in price" , "Lessening" , "cutback!" , "cut" .)

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