It looks like Confederate Jasmine and it should be fine. In my experience, they do not run, sucker or self-seed. They can get a bit full and engulf their support, but they're not fast about it. I have one planted at the base of my street lamp and it was fine for about three years, but I had to do a pretty major cut back this year because it was getting hard to keep it from covering the light. But once I cut it back, it is once again manageable.