Wander about Italian capital, speaking (4)
I believe the answer is:
roam
'wander about' is the definition.
(I've seen this before)
'italian capital speaking' is the wordplay.
'italian capital' becomes 'rome' ('Rome' can be a synonym of 'italian capital').
'speaking' shows a homophone (sound like).
'rome' is a homophone of 'ROAM'.
(Other definitions for roam that I've seen before include "Travel aimlessly" , "'Wander, ramble (4)'" , "go on walkabout" , "Move about aimlessly" , "Ramble without purpose" .)