Runs in back street filled with rubbish (5)
I believe the answer is:
trots
'runs' is the definition.
(trot is a kind of run)
'back street filled with rubbish' is the wordplay.
'back' says the letters should be written in reverse.
'street' becomes 'st'.
'filled with' indicates putting letters inside.
'rubbish' becomes 'rot' (both can mean nonsense).
'st' written backwards gives 'ts'.
'ts' going around 'rot' is 'TROTS'.
'in' acts as a link.
(Other definitions for trots that I've seen before include "Runs slowly" , "jogs" .)