I have them year round, also in the hill country.

Not really a weed, since they are native and edible... But I still usually clear them out of my spaces because they are thorny. You have to be sure to dig up the roots, which can grow as massive rhizomes though...which is why they can keep coming back year after year...

I have a piece of it whose rhizome is apparently underneath our country cabin, where I can't get to it to dig it completely up. Just too old to do that. So I just cut it off where the vine creeps out of the lattice skirting of the cabin. For nearly 3 years now that has kept it at bay, at least. I have a pokeweed that grows out from under the stairs and another from underneath the lattice skirting. Again, I just cut them off there as well, as far in as I can get the loppers. That seems to be working so far on all 3 items.

For things like vine the buttoni has, I have found that cutting of the vine close to the ground and then dipping the end in an appropriate weed killer ie glyphosate.

You may have to repeat the procedure.

When we moved into this house the back was a jungle. I cut all of the vines at ground level and then as they reprouted, cut them off again. (A nice walk through the out back with the weed hoe a couple of times per season). While they are not gone they are no longer the problem, weed eater can keep them under control.

That is truly the BEST way to kill woody vines and my method of choice, frankly. But I just can't get under the stairs or cabin or steps to do that.

No synthetic herbicides are ever appropriate.. :(

Or are these health effects worth 1 less "weed" the "easy" way?