Ran around rubbish to be discarded (8)
I believe the answer is:
scrapped
'be discarded' is the definition.
(I've seen this before)
'ran around rubbish' is the wordplay.
'ran' becomes 'sped' (I've seen this in another clue).
'around' is an insertion indicator.
'rubbish' becomes 'crap'.
'sped' placed around 'crap' is 'SCRAPPED'.
'to' is the link.
(Other definitions for scrapped that I've seen before include "Given axe" , "abandoned in a heap?" , "Abolished, cancelled" , "Junked or discarded" , "Fought - ceased to use" .)