Wander with me and that Cockney woman (7)
I believe the answer is:
meander
'wander' is the definition.
(I know that wander can be written as meander)
'with me and that cockney woman' is the wordplay.
'with' is a charade indicator (letters next to each other).
'that cockney woman' becomes 'er' ('her' - her refers to a woman - said with the 'H' dropped - a cockney accent.).
'me' next to 'and' is 'meand'.
'meand'+'er'='MEANDER'
(Other definitions for meander that I've seen before include "(Of river) wander" , "Dear men (anag) - wander" , "Wander aimlessly like a stream" , "turning thereon?" , "Aimless course" .)