Looks after one of the viewers with an imagination (4'1,3)

I believe the answer is:

mind's eye

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'an imagination' is the definition.
(mind's eye is a kind of imagination)

'looks after one of the viewers' is the wordplay.
'looks after' becomes 'minds' (I've seen this in another clue).
'one of the viewers' becomes 'eye' (I am not sure about this - if you are sure you should believe this answer much more).
'minds'+'eye'='MIND'S EYE'

'with' acts as a link.

Can you help me to learn more?

(Another definition for mind's eye that I've seen is " Imagination".)

I've seen this clue in The Irish Times.

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