The most common and most likely answer to this crossword clue is the 4 letter word TRIM
T
R
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M
More clues leading to the result TRIM
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 = trim.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 TRIM mean?
TRIM noun- Decoration; especially, decoration placed along edges or borders.
- A haircut, especially a moderate one to touch up an existing style.
- Dress; gear; ornaments.
- The manner in which something is equipped or adorned; order; disposition.
- Sexual intercourse.
- The fore-and-aft angle of the vessel to the water, with reference to the cargo and ballast; the manner in which a vessel floats on the water, whether on an even keel or down by the head or stern.
- The arrangement of the sails with reference to the wind.
- To reduce slightly; to cut; especially, to remove excess.
- To decorate or adorn; especially of a Christmas tree.
- (of an aircraft) To adjust pitch using trim tabs.
- (of a vessel) To modify the angle relative to the water by shifting cargo or ballast; to adjust for sailing; to assume, or cause to assume a certain position, or trim, in the water.
- (of a vessel's sails) To modify the angle (of the sails) relative to the wind, especially to set them at the most advantageous angle.
- To balance; to fluctuate between parties, so as to appear to favour each.
- To make trim; to put in due order for any purpose; to make right, neat, or pleasing; to adjust.
- (of timber) To dress; to make smooth.
- To rebuke; to reprove.
- To beat or thrash.
- Physically fit.
- Slender, lean.
- Neat or smart in appearance.
- In good order; properly managed or maintained.
- With sails well trimmed.