Individual cut, minimal amount of money (3)
I believe the answer is:
sou
'minimal amount of money' is the definition.
(sou can mean a very small amount of money)
'individual cut' is the wordplay.
'individual' becomes 'soul' (as in 'not a soul').
'cut' means to remove the last letter.
'soul' with its final letter removed is 'SOU'.
(Other definitions for sou that I've seen before include "Former small French coin" , "almost worthless" , "Old French coin of little value" , "bit of money" , "16 French coin" .)