Graduate, chaotic, brewed coffee (9)

I believe the answer is:

macchiato

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'coffee' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.

'graduate chaotic brewed' is the wordplay.
'graduate' becomes 'MA' (abbreviation for Master of Arts).
'brewed' indicates an anagram.
'chaotic' is an anagram of 'cchiato'.
'ma'+'cchiato'='MACCHIATO'

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(Another definition for macchiato that I've seen is " beverage".)

I've seen this clue in The Daily Express.

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