Almost cancel insignificant examination (8)
I believe the answer is:
scrutiny
'examination' is the definition.
('scrutiny' can be a synonym of 'examination')
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for scrutiny that I've seen before include "From close inspection" , "Close, careful examination" , "Close survey" , "City runs (anag.)" , "Close investigation" .)