That is a bittersweet vine. I can't say for sure whether it's an Oriental (invasive) or American (good vine). It's really hard to tell the difference, and to complicate matters the two can hybridize. As a general rule the leaves of Oriental are broader and less than 2 times as long as wide, while American leaves will be narrower and 2 times as long as wide. The fruit capsules of Oriental are usually yellow while American are orange. Maybe you can tell which it is from that.
The Oriental is invasive because it produces more seed and is more shade tolerant. It just seems to get out of control in some places, but deer will browse the heck out of it.