At first, my intention's not truthfully to make money (4)
I believe the answer is:
mint
'make money' is the definition.
'at first my intention's not truthfully' is the wordplay.
'at first' says to take the initial letters.
The initial letters of 'my intentions not truthfully' is 'MINT'.
'to' acts as a link.
(Other definitions for mint that I've seen before include "Culinary herb" , "Where money coins are manufactured" , "Place where coin money is made" , "Money-making herb?" , "There's a lot of money" .)