Travelling right away from Goring (5)
I believe the answer is:
going
'travelling' is the definition.
('go' can be a synonym of 'travel')
'right away from goring' is the wordplay.
'right' becomes 'r' (common abbreviation).
'away from' suggests deleting specific letters.
'goring' with 'r' taken out is 'GOING'.
(Other definitions for going that I've seen before include "Disappearing" , "Running; leaving" , "Available" , "Failing to stay" , "Departure; current (rate)" .)