Walk street and go from side to side (6)
I believe the answer is:
stroll
'walk' is the definition.
(strolling is a kind of walking)
'street and go from side to side' is the wordplay.
'street' becomes 'st'.
'and' is a charade indicator (letters next to each other).
'go from side to side' becomes 'roll' (to roll is move around from side to side).
'st'+'roll'='STROLL'
(Other definitions for stroll that I've seen before include "walk in a leisurely manner" , "A casual or lazy walk" , "Amble along" , "Meander" , "Amble or ramble" .)