A Thousand Year Poop occurs when you think to yourself, "Golly, it feels like I haven't pooped in a thousand years!"
*And then you proceed to poop for a thousand years*
Jeffbro: Duderino Willies, I pooped so long the sky went from light to dark!
Dudewillis: Sounds like a Thousand Year Poop to me, Jeffrey Bruthers!