Prize led school astray (4,5)

I believe the answer is:

hold close

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'prize' is the definition.
Although both the answer and definition are verbs in their base form, I don't understand how one could define the other.

'led school astray' is the wordplay.
'astray' indicates anagramming the letters.
'led'+'school'='ledschool'
'ledschool' anagrammed gives 'HOLD CLOSE'.

Can you help me to learn more?

I've seen this clue in The Independent.

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