Stroll involving yours truly and that Cockney woman (7)
I believe the answer is:
meander
'stroll' is the definition.
(I know that meander is a type of perambulation)
'yours truly and that cockney woman' is the wordplay.
'yours truly' becomes 'me' (the person that set this crossword).
'that cockney woman' becomes 'er' ('her' - her refers to a woman - said with a cockney accent, dropping the 'H').
'me'+'and'+'er'='MEANDER'
'involving' acts as a link.
(Other definitions for meander that I've seen before include "Wander without aim or direction" , "Ramble about aimlessly" , "Wind about or wander here and there" , "Renamed in order to wander in leisurely way" , "windy" .)