Crossword Genius

Change neat arrangement of every other one (9)

Ross

I believe the answer is:

alternate

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'every other one' is the definition.
Both the definition and answer are adjectives. Perhaps you can see an association between them that I can't see?

'change neat arrangement' is the wordplay.
'change' becomes 'alter' (synonyms).
'arrangement' is an anagram indicator.
'neat' is an anagram of 'nate'.
'alter'+'nate'='ALTERNATE'

'of' is the link.

Can you help me to learn more?

(Other definitions for alternate that I've seen before include "Occurring in turn repeatedly" , "go back and forth" , "deputy" , "Change repeatedly between two" , "Take turns" .)

I've seen this clue in The Irish Independent.
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