Cryptic crossword clue
In yet another way, describing queen the greatest example of this? 10

The most common and most likely answer to this crossword clue is the 10 letter word INEQUALITY

I've seen this crossword clue in The Guardian
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The straight part
We know that "example of this?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case example of this? = inequality.
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 INEQUALITY mean?

INEQUALITY noun
  1. An unfair, not equal, state.
  2. A statement that of two quantities one is specifically less than (or greater than) another. Symbol: < or \leq or > or \geq or \ne, as appropriate.

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