The cool cat a poet made up is absolutely useless (9,6)

I believe the answer is:

chocolate teapot

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'absolutely useless' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'the cool cat a poet made up' is the wordplay.
'made up' is an anagram indicator.
'the'+'cool'+'cat'+'a'+'poet'='thecoolcatapoet'
'thecoolcatapoet' anagrammed gives 'CHOCOLATE TEAPOT'.

'is' is the link.

Can you help me to learn more?

I've seen this clue in The Guardian.

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