Chaotic a.m.fixed by 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 tell whether this works.

'chaotic a m fixed' is the wordplay.
'fixed' indicates an anagram.
'chaotic'+'a'+'m'='chaoticam'
'chaoticam' with letters rearranged gives 'MACCHIATO'.

'by' is the link.

Can you help me to learn more?

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

I've seen this clue in the Sydney Morning Herald.

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