Cryptic crossword clue
Persistent girl stuffing shelled crustacean 9

The most common and most likely answer to this crossword clue is the 9 letter word OBSTINATE

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

The straight part
We know that "Persistent" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case persistent = obstinate.
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 OBSTINATE mean?

OBSTINATE adjective
  1. Stubbornly adhering to an opinion, purpose, or course, usually with implied unreasonableness; persistent.
  2. Said of inanimate things not easily subdued or removed.

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