Given 30 seconds thought I can not think of a way to do this.
Although it turns out in 35 seconds I can. It requires the humans to have already solved friendliness and provable stability under self modification. The solution would need to be implemented in an automated system that can output a result and self destruct. Unfortunately for you the hard part of creating an FAI is already done.
I gather your point is that you get a FAI to check out Clippy, and give a go/no-go decision, and then destroy itself. Not much point in doing that, you could just run the FAI and ignore Clippy, and someone has to check that the FAI is in fact Friendly.
Evolution. Morality. Strategy. Security/Cryptography. This hits so many topics of interest, I can't imagine it not being discussed here. Bruce Schneier blogs about his book-in-progress, The Dishonest Minority:
I am somewhat reminded of Robin Hanson's Homo Hypocritus writings from the above, although it is not the same. Schneier says that the book is basically a first draft at this point, and might still change quite a bit. Some of the comments focus on whether "dishonest" is actually the best term to use for defecting from social norms.