Cryptic crossword clue
Agitators half of them impatient cutting charges 10

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

I've seen this crossword clue in Financial Times
D
E
M
A
G
O
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U
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S

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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 DEMAGOGUES mean?

DEMAGOGUES noun
  1. A political orator or leader who gains favor by pandering to or exciting the passions and prejudices of the audience rather than by using rational argument.
  2. A leader of the people.
DEMAGOGUES verb
  1. To speak or act in the manner of a demagogue; to speak about (an issue) in the manner of a demagogue.

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