Previously finished quick examination (4-4)
I believe the answer is:
once-over
'quick examination' is the definition.
(I've seen this before)
'previously finished' is the wordplay.
'previously' becomes 'once' (I've seen this before).
'finished' becomes 'over' ('over' can be similar in meaning to 'finished').
'once'+'over'='ONCE-OVER'
(Other definitions for once-over that I've seen before include "Quick appraisal" , "Quick survey" , "Brief check" , "Quick inspection" , "Appraising glance" .)