Just remembered another plant that I loved for a couple years. It's the Dutchman's pipe vine. Not the one that has the big pretty flowers, but the one that has flowers you don't even notice. I planted it along an old chain link fence thinking the big leaves would hide it. They did, but soon they were sending roots 6-10 foot away from the mother plant soon became very invasive. I spent a lot of time last year digging and poisoning the roots. In this photo you can just see the pretty leaves on the far left on the fence and that's also it along the back fence growing up into the tree.
Skip forward about 15 years and the vines had grown under a neighbor's garage and were popping up all along the fence and about 12' into the border. I had to remove most of the plants in that area and dig a hole about 4' deep X 4'x10'. I pulled as many roots as I could out of the area and still had stubs of roots that I put vine killer on. Here you can see the area that had the worst of the roots.
So far this year things are looking good with only a few strays showing up that get poisoned as soon as I see them. Will be interesting to see how many more show before the summer if over.