Pleasure trip to old Sumerian city (4)
I believe the answer is:
tour
'pleasure trip' is the definition.
(tour can mean a trip taken for fun)
'to old sumerian city' is the wordplay.
'old sumerian city' becomes 'Ur' (ancient city).
'to'+'ur'='TOUR'
(Other definitions for tour that I've seen before include "Entertainer's itinerary" , "Travel around" , "Trip visiting several places" , "Pastoral people of East Africa" , "Trip, visit" .)