2. To make someone look breathtakingly inept during a physical confrontation.
3. To "rock the shit" as Brian Fantana put it.
Spouse: "Did you not remember that today is our anniversary?"
You: "Sorry, significant other, but I Jason Bourne'd all about it"
Spouse: "Did you forget the milk, again?"
You: "Whoops. My bad, love of my life, but I Jason Bourne'd as I walked past the dairy aisle."
Destroying the Evidence:
Spouse: "Did you get rid of the body like I told you to?"
You: "Damn. I'll admit, ball and chain, that I'm a highly-trained assassin that works for a shadowy government organization that I can recall almost nothing about... i.e. I Jason Bourne'd the corpse."