Anderwood. I don't have experience with this particular plant, but I have found there are essentially 2 ways to deal with runners. 1. cardboard and/or black plastic. cover with mulch if you can't stand the look. 2. (for the big runners, like trumpet vine or Asian wisteria). Cut off at the base, and paint the stump -- around the cambium layer just inside of the bark with systemic herbicide such as glyphosate.
Most runners will only surface again, if you try to pull them or cultivate them if any plant parts are left below the surface. A third method would be solarazation with clear plastic, but Ive never been able to get that technique to work for me.