I entered avenue and wandered (6)
I believe the answer is:
roamed
'wandered' is the definition.
('roam' can be a synonym of 'wander')
'i entered avenue' is the wordplay.
'i' becomes 'me'.
'entered' indicates putting letters inside.
'avenue' becomes 'road' (I've seen this in another clue).
'me' inserted within 'road' is 'ROAMED'.
'and' acts as a link.
(Other definitions for roamed that I've seen before include "Roved" , "Was a drifter" , "Meandered" , "Rambled around" , "Travelled aimlessly" .)