The most common and most likely answer to this crossword clue is the 3 plus 6 letter word GUM DRAGON
G
U
M
D
R
A
G
O
N
Buddy explains!
The straight part
We know that "dyeing material" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dyeing material = gum dragon.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.