Wandered like me, in a way (6)
I believe the answer is:
roamed
'wandered' is the definition.
('roam' can be a synonym of 'wander')
'me in a way' is the wordplay.
'in' means one lot of letters goes inside another.
'a way' becomes 'road' (road is a kind of way).
'me' placed within 'road' is 'ROAMED'.
'like' is the link.
(Other definitions for roamed that I've seen before include "Wandered about aimlessly" , "Walked aimlessly" , "Was a drifter" , "Travelled aimlessly" , "Moved about aimlessly" .)