Odd when man changes into this? (4-2-4)

I believe the answer is:

hand-me-down

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'this?' is the definition.
The definition suggests a singular noun which matches the answer.

'odd when man changes' is the wordplay.
'changes' is an anagram indicator.
'odd'+'when'+'man'='oddwhenman'
'oddwhenman' with letters rearranged gives 'HAND-ME-DOWN'.

'into' acts as a link.

Can you help me to learn more?

(Other definitions for hand-me-down that I've seen before include "Second-hand garment" , "Passed-on clothing" , "Garment passed on to another" , "Item passed on" .)

I've seen this clue in The Guardian.

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