Path leads to the Roman amphitheatre in Livorno (5)
I believe the answer is:
trail
'path' is the definition.
(trail is a kind of path)
'leads to the roman amphitheatre in livorno' is the wordplay.
'leads to' says to take the initial letters.
The first letters of 'the roman amphitheatre in livorno' is 'TRAIL'.
(Other definitions for trail that I've seen before include "Stalk" , "Fall behind" , "Mark left where something has passed - follow it" , "Scent or track followed in hunting" , "Country path; follow" .)