Crossword Genius

Not voting to give to one's successors (4,4)

Ross

I believe the answer is:

hand down

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

'to one's successors' is the definition.
I can't tell whether this defines the answer.

'not voting to give' is the wordplay.
'not voting' becomes 'down' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'to' is a charade indicator (letters next to each other) (I've seen this in other clues).
'give' becomes 'hand' (synonyms).
'down' after 'hand' is 'HAND-DOWN'.

Can you help me to learn more?

(Another definition for hand down that I've seen is " Issue (judgment); bequeath".)

I've seen this clue in the Evening Standard.
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