Cut make-up exam, put at edge (9)

I believe the answer is:

amputated

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'at edge' is the definition.
The answer and definition are not the same part of speech. However, past participle verbs and adjectives can sometimes define each other.

'cut make-up exam' is the wordplay.
'cut' becomes 'amputate' (I've seen this before).
'make-up exam' becomes 'd' (I am not sure about this - if you are sure you should believe this answer much more).
'amputate'+'d'='AMPUTATED'

'put' is the link.

Can you help me to learn more?

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

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