Pure treatment holds keys to share in recovery (12)

I believe the answer is:

recuperation

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'recovery' is the definition.
(synonyms)

'pure treatment holds keys to share' is the wordplay.
'treatment' indicates anagramming the letters (letters treated or processed differently).
'holds' is an insertion indicator.
'keys to' becomes 'ec' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'share' becomes 'ration' (a ration is a share of a limited resource).
'pure' anagrammed gives 'rupe'.
'rupe' going around 'ec' is 'recupe'.
'recupe'+'ration'='RECUPERATION'

'in' is the link.

Can you help me to learn more?

(Another definition for recuperation that I've seen is " Convalescence".)

I've seen this clue in The Daily Express.

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