Travel around to ancient city (4)
I believe the answer is:
tour
'travel around' is the definition.
(synonyms)
'to ancient city' is the wordplay.
'ancient city' becomes 'ur'.
'to'+'ur'='TOUR'
(Other definitions for tour that I've seen before include "Go round" , "Short trip; spell of duty" , "Rout on excursion" , "Extended journey" , "Trip, visit" .)