I have the same problem - maybe our neighbors are related? I cut the blasted vine when it comes over into my yard (or even approaches my yard), and the closer I can get to the ground when I cut it, the happier I am. It's rooted in her yard, and she doesn't seem to care, so there isn't a heck of a lot I can do. I do look for the seedlings whenever I'm out and about in the yard, as I certainly don't want a full-blown vine in my yard. Very frustrating, when your neighbor does nothing. The neighbor behind us has a thicket of pokeweed that is about 15 feet wide and over 6 feet tall: happy birds, unhappy me. Ah well.

Reaching in an cutting the vine as close to the source as possible is the best way to control it.