Put out hack, completely where vexed souls are driven (2,3,4)
I believe the answer is:
up the wall
'driven' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.
'put out hack completely where vexed souls' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'hack' becomes 'hew' (I've seen this before).
'completely where vexed souls' becomes 'all' (I can't explain this - if you can you should believe this answer much more).
'put' is an anagram of 'upt'.
'upt'+'hew'+'all'='UP THE WALL'
'are' is the link.
Can you help me to learn more?
(Other definitions for up the wall that I've seen before include "Where Spiderman may go" , "Where espaliers run" , "wild" , "Distracted, mad" , "Where climbers go" .)