Extraordinary fourth stage, in great demand (6-5)

I believe the answer is:

sought-after

'in great demand' is the definition.
(something sought-after is coveted by many people)

'extraordinary fourth stage' is the wordplay.
'extraordinary' indicates anagramming the letters.
'fourth'+'stage'='fourthstage'
'fourthstage' with letters rearranged gives 'SOUGHT-AFTER'.

(Another definition for sought-after that I've seen is " much in demand".)

I've seen this clue in The Times.

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