The most common and most likely answer to this crossword clue is the 4 plus 3 plus 1 plus 5 letter word TEAR OFF A STRIP
I've seen this crossword clue in The Daily Telegraph
T
E
A
R
O
F
F
A
S
T
R
I
P
More clues leading to the result TEAR OFF A STRIP
Buddy explains!
The straight part
We know that "carpet" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case carpet = tear off a strip.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.