Work covered by girl I'd backed for management (8)
I believe the answer is:
disposal
'management' is the definition.
(disposal is a kind of management)
'work covered by girl i'd backed' is the wordplay.
'work' becomes 'op' (abbreviation for opus).
'covered by' is an insertion indicator.
'girl' becomes 'lass' (lass is a kind of girl**).
'backed' is a reversal indicator.
'lass'+'id'='lassid'
'op' put into 'lassid' is 'lasopsid'.
'lasopsid' reversed gives 'DISPOSAL'.
'for' acts as a link.
(Other definitions for disposal that I've seen before include "Getting rid of something" , "Sale (of assets)" , "Deployment - management" , "Availability for use" , "Scrapping" .)