The most common and most likely answer to this crossword clue is the 9 letter word CAFETIERE
I've seen this crossword clue in The Guardian
C
A
F
E
T
I
E
R
E
Buddy explains!
The straight part
We know that "not with this" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case not with this = cafetiere.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 CAFETIERE mean?
CAFETIERE noun- A cylindrical glass or metal jug, fitted with a filter on a rod, used to make coffee.