Quick inspection of cooperative banks on both sides (4-4)
I believe the answer is:
once-over
'quick inspection' is the definition.
(I've seen this before)
'of cooperative banks on both sides' is the wordplay.
'of' is an anagram indicator (the answer comes from or 'of' the letters).
'banks' suggests removing the centre (the sides or banks of the word).
'on' means one lot of letters goes inside another.
'both sides' becomes 'oner' (I can't justify this - if you can you should believe this answer much more).
'cooperative' with its middle removed is 'cove'.
'cove' with letters rearranged gives 'ceov'.
'ceov' put into 'oner' is 'ONCE-OVER'.
Can you help me to learn more?
(Other definitions for once-over that I've seen before include "Brief check" , "Cursory examination" , "Quick inspection" , "Rapid inspection" , "Appraising glance" .)