Go later, perhaps, round the Civic Centre (6)
I believe the answer is:
travel
'go' is the definition.
('travel' can be a synonym of 'go')
'later perhaps round the civic centre' is the wordplay.
'perhaps' indicates anagramming the letters.
'round' indicates putting letters inside.
'centre' says to take the centre.
The centre of 'civic' is 'v'.
'later' is an anagram of 'trael'.
'trael' going around 'v' is 'TRAVEL'.
(Other definitions for travel that I've seen before include "Make a journey" , "treatment for a narrow mind?" , "Movement from one place to another" , "Go on a journey" , "Locomotion" .)