Cryptic crossword clue
Very sensitive poets roaming over island, endlessly 3-6

The most common and most likely answer to this crossword clue is the 10 letter word TOP-SECRET

I've seen this crossword clue in The Times
T
O
P
-
S
E
C
R
E
T


Buddy explains!

The straight part
We know that "Very sensitive" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case very sensitive = top-secret.
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 TOP-SECRET mean?

TOP-SECRET adjective
  1. Having the highest secrecy classification.

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