Walk with a street directory (6)
I believe the answer is:
stroll
'walk' is the definition.
(I know that stroll is a type of walk)
'with a street directory' is the wordplay.
'with' means one lot of letters go next to another.
'a street' becomes 'st' (abbreviation).
'directory' becomes 'roll' (I've seen this before).
'st' next to 'roll' is 'STROLL'.
(Other definitions for stroll that I've seen before include "A casual or leisurely walk" , "Walk slowly and idly" , "Amble or ramble" , "Saunter in no particular direction" , "Promenade" .)