One looking for attention (3)

I believe the answer is:

eye

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'attention' is the definition.
(eye is a kind of attention)

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

(Other definitions for eye that I've seen before include "Look at; centre" , "where the pupil is seated" , "Watch - middle of cyclone" , "Observe narrowly" , "Regard" .)

I've seen this clue in The Sun and The Times.

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