Brief inspection formerly done (4-4)

I believe the answer is:

once-over

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'brief inspection' is the definition.
'once over' can be an answer for 'inspection' (I've seen this before). I am not sure about the 'brief' bit.

'formerly done' is the wordplay.
'formerly' becomes 'once' (synonyms).
'done' becomes 'over' (both can mean completed).
'once'+'over'='ONCE-OVER'

Can you help me to learn more?

(Other definitions for once-over that I've seen before include "Quick appraisal" , "Quick inspection" , "Appraising glance" , "Quick survey" , "Brief check" .)

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