Obama's right to avoid Libya's manic clairvoyant (5)

I believe the answer is:

sibyl

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'clairvoyant' is the definition.
(I've seen this in another clue)

I don't understand how the rest of the clue works.

(Other definitions for sibyl that I've seen before include "Seer in classical times" , "Woman mouthpiece of a god, uttering prophecies" , "Ancient Roman prophetess" , "One seeing future" , "Female oracle" .)

I've seen this clue in the Sydney Morning Herald.

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