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Latte woe put to rights, using absorbent cloth (8)

Ross

I believe the answer is:

teatowel

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

'to rights using absorbent cloth' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'latte woe' is the wordplay.
'latte woe' anagrams to 'TEATOWEL'.
However, I'm unsure how this is indicated.

'put' is the link.

Can you help me to learn more?

I've seen this clue in The Irish Times.
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