Follow leftist’s leisurely movement (7)
I believe the answer is:
dogtrot
'leisurely movement' is the definition.
(a dogtrot is a gentle trot)
'follow leftist's' is the wordplay.
'follow' becomes 'dog' (dog can mean to follow or torment).
'leftist's' becomes 'trot' (I can't justify this - if you can you should believe this answer much more).
'dog'+'trot'='DOGTROT'
Can you help me to learn more?
(Other definitions for dogtrot that I've seen before include "running at gentle pace" , "Slowish running pace of canine analogy" , "Gentle easy pace" , "Gentle paced run" , "Pace between walking and running" .)