Given a push to get started, left (6,3)

I believe the answer is:

shoved off

I'm a little stuck... Click here to teach me more about this clue!

'given a' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.

'push to get started left' is the wordplay.
'push' becomes 'shove' (shoving is a kind of pushing).
'to get' means one lot of letters go next to another.
'started left' becomes 'doff' (I can't justify this - if you can you should believe this answer much more).
'shove'+'doff'='SHOVED OFF'

Can you help me to learn more?

Want a hint initially instead of a full solution? Install my app