I got some gloves and removed the little vines from my yard.
My problem is that we have a fence that has lots of flowering vines on it, Clemantis, Hops, Morning Glory, Hummingbird Vines and I have to remain vigilant and kill it before it takes hold. Every year I find little baby vines and remove them with gloves, removing as much root as I can.
If it ever took hold and I went a year without pulling them it would spread right up that fence.