Crossword Genius

Gives back control by governments (10)

Ross

I believe the answer is:

reinstates

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'gives back' is the definition.
Although both the answer and definition are verbs in their -s form, I can't see how they can define each other.

'control by governments' is the wordplay.
'control' becomes 'rein' (rein is a kind of control).
'by' is a charade indicator (letters next to each other).
'governments' becomes 'states' (state is a kind of government).
'rein'+'states'='REINSTATES'

Can you help me to learn more?

(Another definition for reinstates that I've seen is " Re-establishes".)

I've seen this clue in The Times.
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