Cryptic crossword clue
Sharpened edge of razor having finished exterior 8

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

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

The straight part
We know that "Sharpened" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case sharpened = stropped.
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 STROPPED mean?

STROPPED verb
  1. To strap.
  2. (recorded since 1842; now most used) To hone (a razor) with a strop.
STROPPED verb
  1. To mark a sequence of letters syntactically as having a special property, such as being a keyword, e.g. by enclosing in apostrophes as in 'foo' or writing in uppercase as in FOO.

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