The most common and most likely answer to this crossword clue is the 8 letter word INCLOSED
I've seen this crossword clue in The Guardian
I
N
C
L
O
S
E
D
More clues leading to the result INCLOSED
Buddy explains!

The straight part
We know that "Cut off" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cut off = inclosed.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 INCLOSED mean?
INCLOSED verb- To surround with a wall, fence, etc.
- To insert into a container, usually an envelope or package
- Surrounded.
- Contained within something.