Pushed off the sinister side (4)
I believe the answer is:
left
This clue could be a double definition.
'pushed' is the first definition.
The definition and answer can be both to do with motion as well as being past participle verbs.
Perhaps you can see an association between them that I don't see?
'the sinister side' is the second definition.
(I've seen this before)
'off' is the link.
Can you help me to learn more?
(Other definitions for left that I've seen before include "quit" , "Vacated; political wing" , "Sailed from" , "set out" , "political grouping" .)