Detective's reported on being found out (10)
I believe the answer is:
discovered
'being found out' is the definition.
(I've seen this before)
'detective's reported on' is the wordplay.
'detective's' becomes 'dis' (Detective Inspector).
'reported on' becomes 'covered' ('cover' can be a synonym of 'report on').
'dis'+'covered'='DISCOVERED'
(Other definitions for discovered that I've seen before include "Found during search" , "Unexpectedly found" , "Was the first to observe" .)