Cryptic crossword clue
Promoting Republican, agitate Royal noticeably 10

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

I've seen this crossword clue in Independent
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Buddy explains!

The straight part
We know that "noticeably" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case noticeably = strikingly.
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 STRIKINGLY mean?

STRIKINGLY adverb
  1. (manner) In a striking way.
  2. (degree) To a remarkable degree or extent.
  3. (evaluative) Remarkably, surprisingly.

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