I'm pretty sure we were both talking about cleavers. It's kind of cool how people have different names for basically the same weeds. But as far as invasive weeds go, the worst I've ever seen is kudzu when I lived in the SE. Makes a cool looking basket, thoughIs that cleavers you're talking about. That stuff sticks like Velcro. So do the seed pods. Its annoying but a pretty alright edible.
If wild morning glory is called bindweed, I can see why. I rolled a carpet of morning glory and kaikuyu out of the corner of my yard this afternoon. I started off pulling it off the fence, and just kept going. Its taken over a good chunk of that corner of the yard. Horrible stuff.