Embracing a pupil, she's a bit of an eyeful (4)

I believe the answer is:

iris

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'embracing a pupil she's a bit' is the definition.
I can't tell whether this definition defines the answer.

'an eyeful' is the wordplay.
'an' becomes 'i' (Roman numeral for one).
'eyeful' becomes 'ris' (I am not sure about this - if you are sure you should believe this answer much more).
'i'+'ris'='IRIS'

'of' is the link.

Can you help me to learn more?

(Other definitions for iris that I've seen before include "Murdoch in writing" , "Eye part or attractive flower" , "Film about writer _______ Murdoch" , "Fleur-de-lis" , "Circular coloured membrane in the eye" .)

I've seen this clue in the Evening Standard.

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