Sounds like I part with the scholar (5)

I believe the answer is:

pupil

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'the scholar' is the definition.
(pupil is a kind of scholar)

I don't understand the remainder of the clue.

(Other definitions for pupil that I've seen before include "Schoolboy or eye part" , "One in the eye or in place of learning" , "Centre of iris, in the eye" , "One under instruction" , "Eye's centre" .)

I've seen this clue in The Irish Independent.

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