The most common and most likely answer to this crossword clue is the 12 letter word DISCORPORATE
I've seen this crossword clue in The Guardian
D
I
S
C
O
R
P
O
R
A
T
E
Buddy explains!
The straight part
We know that "immaterial" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case immaterial = discorporate.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.