The most common and most likely answer to this crossword clue is the 8 letter word ESCALADE
I've seen this crossword clue in The Guardian
E
S
C
A
L
A
D
E
More clues leading to the result ESCALADE
Buddy explains!
The straight part
We know that "go up the wall" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case go up the wall = escalade.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 ESCALADE mean?
ESCALADE noun- An act of scaling walls or fortifications
- To scale the walls of a fortification.