Sue, we hear, for a bit of money (3)
I believe the answer is:
sou
'bit of money' is the definition.
(I've seen this before)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for sou that I've seen before include "Tiny amount of money" , "16 French coin" , "Very small amount of money" , "Old French coin of little value" , "Paltry sum" .)