Getting rid of old pass I shredded (8)
I believe the answer is:
disposal
'getting rid' is the definition.
(I've seen this before)
'old pass i shredded' is the wordplay.
'shredded' indicates an anagram.
'old'+'pass'+'i'='oldpassi'
'oldpassi' is an anagram of 'DISPOSAL'.
'of' acts as a link.
(Other definitions for disposal that I've seen before include "Deployment - management" , "Riddance" , "Act of throwing something away" , "Out of control," , "Scrapping" .)