Might the manager be thus eyed? (4)

I believe the answer is:

boss

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'eyed?' is the definition.
Both the answer and definition are adjectives. Maybe there's an association between them I don't understand?

I can't explain the remainder of the clue.

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(Other definitions for boss that I've seen before include "One who manages" , "Bully" , "Gaffer, manager" , "One in charge; stud" , "Person managing" .)

I've seen this clue in the Evening Standard.

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