Cryptic crossword clue
Letter by good American conservative is inconsequential 8

The most common and most likely answer to this crossword clue is the 8 letter word NUGATORY

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

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

NUGATORY adjective
  1. Trivial, trifling or of little importance.
  2. Ineffective, invalid or futile.
  3. Having no force, inoperative, ineffectual.
  4. Removable from a computer program with safety, but harmless if retained.

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