Left-winger hurried pace (4)
I believe the answer is:
trot
I believe this is a double definition.
'left-winger' is the first definition.
(short for Trotskyite)
'hurried pace' is the second definition.
(I've seen this in another clue)
(Other definitions for trot that I've seen before include "Hurry along" , "An elderly woman" , "A slowish run, often by horse" , "Move at brisk pace" , "Move quite fast" .)