Clever enough to ignore middle-men? (4)

I believe the answer is:

cute

I'm a little stuck... Click here to teach me more about this clue!

'clever' is the definition.
(I've seen this before)

'ignore middle-men?' is the wordplay.
'ignore' becomes 'cut' (synonyms).
'middle' says to take the centre.
The middle letter of 'men' is 'e'.
'cut'+'e'='CUTE'

'enough to' acts as a link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for cute that I've seen before include "Winsome" , "Small, delightful" , "Pretty or cunning" , "Smart" , "Daintily pleasing" .)

I've seen this clue in the Evening Standard.

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