The most common and most likely answer to this crossword clue is the 7 letter word BOBTAIL
I've seen this crossword clue in Independent
B
O
B
T
A
I
L
More clues leading to the result BOBTAIL
Buddy explains!

The straight part
We know that "Cut short" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cut short = bobtail.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 BOBTAIL mean?
BOBTAIL noun- A short, or deliberately shortened tail.
- An animal that has a bobtail, such as certain canines or nags.
- A tractor which performs without its trailer.
- A tractor-trailer that is relatively short in length.
- To drive a tractor without its trailer.
- To drive a truck or other vehicle without its trailer.