Dealing with invasives
When possible, instead of poison, I simply cover the stump with a pair of old planting pots nested to prevent light reaching the stump. This works, though it takes a lot longer.
What to do with bush honeysuckle trunks.
I've read that bush honeysuckle doesn't decompose well. I haven't studied it myself, but since it is an invader I'm willing to bet that the biochemistry in my local dirt doesn't have some of the bacteria that like to feed on these fairly stout and strong branches. Perhaps they can be fashioned into chairs or benches? Very few are straight, nearly every one has a pronounce curve, sometimes in mulitple directions. On the smaller stems and branches, the pitch is weak and can be drilled out easily. Some of the pencil sized stems are hollow. But for the most part, the biggers ones only have a very small center part that is weaker.
Tangle made by bush honeysuckle
Requires a lot of cutting just to get in close to the trunk of the cedar. Looking closely at the full resolution of this image, you can see a few other species coming up, but not many.
harvest of bush honeysuckle trunks
I'm positive these can be used to build something, just not sure what yet.