Orderly periodically gets masters again (8)

I believe the answer is:

relearns

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'masters again' is the definition.
The definition and answer can be both related to thinking as well as being verbs in their -s form.
Maybe you can see an association between them that I can't see?

'orderly periodically gets' is the wordplay.
'periodically' indicates alternate letters (letters must be selected 'every so often').
'gets' becomes 'earns' (earning is a kind of getting).
The alternating letters of 'orderly' are 'rel'.
'rel'+'earns'='RELEARNS'

Can you help me to learn more?

(Another definition for relearns that I've seen is " Once more finds out".)

I've seen this clue in The Telegraph.

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