Reportedly wander round capital (4)
I believe the answer is:
rome
'capital' is the definition.
(capital of Italy)
'reportedly wander round' is the wordplay.
'reportedly' indicates a 'sounds like' (homophone) clue.
'wander round' becomes 'roam' (to roam is to wander around).
'roam' is a homophone of 'ROME'.
(Other definitions for rome that I've seen before include "Spanish Steps city" , "Italian city" , "Capital of Italy" , "The Eternal City" , "Basis for cheese" .)