Demote, say, during report (8)
I believe the answer is:
relegate
'demote' is the definition.
(I know that demote can be written as relegate)
'say during report' is the wordplay.
'say' becomes 'eg' (both can mean 'for example').
'during' is an insertion indicator.
'report' becomes 'relate' (I've seen this before).
'eg' placed inside 'relate' is 'RELEGATE'.
(Other definitions for relegate that I've seen before include "Move down to a lower grade" , "Move to a lower division" , "Demote" , "Send down" , "Assign to a lower position" .)