Begin in street with it, a small truck
I believe the answer is:
institute
'begin' is the definition.
(thesaurus)
'in street with it a small truck' is the wordplay.
'street with' becomes 'st' (I've seen this in other clues).
'a small truck' becomes 'ute' (Australian abbreviation for utility vehicle; 'small' suggests a short form).
'in'+'st'+'it'+'ute'='INSTITUTE'
(Other definitions for institute that I've seen before include "order as before" , "Scientific, educational or social organisation" , "Found; an establishment" , "asylum, possibly?" , "Begin (legal proceedings)" .)