The most common and most likely answer to this crossword clue is the 7 plus 6 letter word PINKING SHEARS
I've seen this crossword clue in The Daily Telegraph
P
I
N
K
I
N
G
S
H
E
A
R
S
More clues leading to the result PINKING SHEARS
- Amongst pointed objects, men discover scissors
- Hold down cards and pick up special scissors
- These may cut supremo absorbed by wild NHS praise
- Tool for tailoring legs without bad shrinkage
- In case of problems, popular monarchs try these for cutting material
- . Restrain the vocal followers of a branch of Islam under the monarch with the tailoring scissors
Buddy explains!

The straight part
We know that "for cutting material" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case for cutting material = pinking shears.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.