Go over civil injury at a brisk pace (4)
I believe the answer is:
trot
'a brisk pace' is the definition.
(I've seen this in another clue)
'go over civil injury' is the wordplay.
'go over' is a reversal indicator (I've seen 'going over' mean this).
'civil injury' becomes 'tort' (I've seen this in another clue).
'tort' backwards is 'TROT'.
'at' acts as a link.
(Other definitions for trot that I've seen before include "equestrians sometimes associate with rising" , "Radical socialist (abbr) - horse gait" , "Red" , "(Horse's) pace faster than a walk" , "Communist - horse pace faster that a walk" .)