Shrank from wearing period hat out (9)

I believe the answer is:

atrophied

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'shrank' is the definition.
(atrophying is a kind of shrinking)

'period hat out' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'period'+'hat'='periodhat'
'periodhat' anagrammed gives 'ATROPHIED'.

'from wearing' is the link.
This may not be right. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for atrophied that I've seen before include "Wasted away" , "Decayed from disuse" , "Withered" .)

I've seen this clue in the Sydney Morning Herald.

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