Cryptic crossword clue
Setter with Observer: all new and very puzzling 12

The most common and most likely answer to this crossword clue is the 12 letter word IRRESOLVABLE

I've seen this crossword clue in The Guardian
I
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Buddy explains!

The straight part
We know that "very puzzling" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case very puzzling = irresolvable.
The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.
This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.

What does IRRESOLVABLE mean?

IRRESOLVABLE adjective
  1. Impossible to resolve; insoluble.
  2. Impossible to separate into its component parts.

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