The most common and most likely answer to this crossword clue is the 11 letter word PAPERHANGER
I've seen this crossword clue in The Times
P
A
P
E
R
H
A
N
G
E
R
Buddy explains!

The straight part
We know that "his work sends him up the wall" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case his work sends him up the wall = paperhanger.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 PAPERHANGER mean?
PAPERHANGER noun- Someone who puts wallpaper on walls.
- A con man who passes bad cheques or counterfeit paper money; a forger, a con artist.