The most common and most likely answer to this crossword clue is the 4 letter word LOIN
I've seen this crossword clue in The Guardian
L
O
I
N
More clues leading to the result LOIN
- Next to odd slices of onion, large cut of meat
- Cut access to computer, not good
- Look to get popular cut of meat
- Joint leaders of industry non-committal at first
- Cut large onions in regular slices
- Cut of meat from beast’s twisted innards
- Meat from wild animal on the turn inside
- Dose of mercurial ointment for cut
- Meat cut from armadillo? I never!
- Piece of meat, a long way away from R. Blanc?
Buddy explains!

The straight part
We know that "cut" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cut = loin.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 LOIN mean?
LOIN noun- The part of the body (of humans and quadrupeds) at each side of the backbone, between the ribs and hips
- Any of several cuts of meat taken from this part of an animal