It is easy to mow or to pull up/push out of the ground with a tractor bucket due to their shallow roots. If you have a field of it, cutting it or pulling them out work. If it's along a field edge or in the woods, it's not so easy. I have several large areas in the woods where you can't walk through it's so thick. It grows in shade or sun. A little bit wouldn't be so bad, but AO takes over everything!
As an experiment with removing via foliage application, I sprayed some growing up along a fence next to my hunting cabin with gly mixed with water. It didn't kill it, but it did kill some multiflora rose next to it. I have not tried Crossbow, so that may be better as WBF suggested. If you can cut the AO and spray the stumps, it's easier. The problem is cutting the stumps. It's thorny and, absent a mower, it's tough to get to. There's so much AO by me that deer do nothing to keep it in check.