The most common and most likely answer to this crossword clue is the 5 plus 3 letter word SCRAG END
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Buddy explains!

The straight part
We know that "Butcher’s cut" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case butcher’s cut = scrag end.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 SCRAG END mean?
SCRAG END noun- A cheap primal cut of lamb or mutton that comes from the forepart of the neck and is typically used in soups or stews.
- The scraps of something; the leftover bits.
- The less desirable part of something.
- A person who is old and weak or useless.