An inclination in a back street to find vagabonds (6)
I believe the answer is:
tramps
'vagabonds' is the definition.
(I know this)
'an inclination in a back street' is the wordplay.
'an inclination' becomes 'ramp' (an inclined surface).
'in' indicates putting letters inside.
'a back' says the letters should be written backwards.
'street' becomes 'st' (abbreviation).
'st' in reverse letter order is 'ts'.
'ramp' put into 'ts' is 'TRAMPS'.
'to find' acts as a link.
(Other definitions for tramps that I've seen before include "Walks heavily and firmly" , "Walks heavily with vagrants" , "Journeys wearily" , "Walks heavily like hobos" , "Hiking vagrants" .)