Genus of current wild cat left to disappear (4)

I believe the answer is:
iynx
I'm afraid I can't even guess how this answer relates to the clue.
Can you help me to learn more?
(Another definition for iynx that I've seen is " pecker's relative that's died out".)
I've seen this clue in The Sunday Times and The Times.
Want a hint initially instead of a full solution?
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