ToH is a topic a few times every year. I like having it. My deer go nuts over the stuff. It hasn't spread out of control on my place but maybe that's because I do actively cut it. It will stump sprout and sucker but if you repeatedly cut it, it tends to dye out...at least that's the way it's gone on my place. I had a couple spots that after about 3 years of yearly cutting (and stump suckering) the colony died-out and not ToH exist in that spot...I did not apply herbicide, the stuff just ran out of energy and the roots died. Your results may vary. I have 3 patches of it, mostly around the edges of my yard. Every year, in mid summer, I cut it and deer flock to the tops. They quickly browse thru the clover plots, but their true destination is the ToH tops.
Now, I'm in no way saying that ToH shouldn't be closely monitored and controlled if need be. I'm not against treating the stumps if the stuff is getting out of control. But man, the stuff is such a desirable, and fee source of browse. My deer strip every single leaf of every single ToH that I lay on the ground.
I'll repeat what I've said many times...It does need to be cut. Don't allow it to spread out of control. Completely cut the trunk in late summer while the leaves are at their very most desirable and put food on the ground. If you want to treat the stumps, go ahead and do it, but summer is the time to cut the stuff when it's full of leaves (food).
I've been doing this for over 10 years and my ToH IMO, is a valuable food source on my place but, yes, it needs to be closely watched and controlled.
I'll try to post some pics in a few minutes...gotta switch over to Tapatalk for photo posting.