Wandered with me in street (6)
I believe the answer is:
roamed
'wandered' is the definition.
('roam' can be a synonym of 'wander')
'me in street' is the wordplay.
'in' indicates putting letters inside.
'street' becomes 'road' (I've seen this before).
'me' placed inside 'road' is 'ROAMED'.
'with' acts as a link.
(Other definitions for roamed that I've seen before include "Wandered about without any destination" , "Was a drifter" , "Walked aimlessly" , "Roved" , "Meandered" .)