"fuck you money" is something different - it's the amount of wealth you need (varying per individual) where you can comfortably say "fuck you" to a particular job or opportunity or proposal someone makes to you if you don't want to do it. I believe the term you're looking for is something like "chump change"
I have seen it used in that (to mean the same as chump change) in linkedin articles by random recruiters, so I guess it will suffer the fate of literally vs. figuratively. Terrible.. but use dictates meaning, if it goes mainstream.
Can you give an example? "Fuck you money" is pretty literal already, - the money required to be able to say "fuck you." I can't see how it can make any sense in any other context.