Criterion was reformulated in a different way (12)
I believe the answer is:
contrariwise
'in a different way' is the definition.
(in a contrary way or direction)
'criterion was reformulated' is the wordplay.
'reformulated' indicates anagramming the letters.
'criterion'+'was'='criterionwas'
'criterionwas' with letters rearranged gives 'CONTRARIWISE'.
I've seen this clue in The Times.
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