Seen to have rushed round the capital of Italy (5)
I believe the answer is:
spied
'seen' is the definition.
(I've seen this before)
'rushed round the capital of italy' is the wordplay.
'rushed' becomes 'sped' ('speed' can be a synonym of 'rush').
'round' means one lot of letters goes inside another.
'the capital of italy' becomes 'i' (I can't justify this - if you can you should believe this answer much more).
'sped' going around 'i' is 'SPIED'.
'to have' acts as a link.
Can you help me to learn more?
(Other definitions for spied that I've seen before include "Watched secretly" , "Noticed" , "Seen" , "Caught sight of" , "Was a secret agent" .)