Moving to open air for children's game (9)

I believe the answer is:

operation

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'children's game' is the definition.
I can't tell whether this definition defines the answer.

'moving to open air' is the wordplay.
'moving' is an anagram indicator (letters are moved around).
'to'+'open'+'air'='toopenair'
'toopenair' is an anagram of 'OPERATION'.

'for' acts as a link.

Can you help me to learn more?

(Other definitions for operation that I've seen before include "Surgical or military piece of work" , "military undertaking" , "medical treatment" , "Action; process" , "management" .)

I've seen this clue in The Independent.

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