A small hole in a double-lidded organ (3)

I believe the answer is:

eye

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'organ' is the definition.
(I know that eye is a type of sensory receptor)

I don't understand the remainder of the clue.

Can you help me to learn more?

(Other definitions for eye that I've seen before include "It accommodates a pupil" , "Sense organ" , "Four [NEEDLEFUL] may pass through this" , "Regard" , "One looks" .)

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

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