Originally Posted by Oaky
You can expect that it will behave like most rhizomes - so it will pop out new shoots a short distance from the root crown. What many people do is to shovel around the plant seasonally to cut the further roots and dig the out (you can "clone" that way). Also - and perhaps easier, contain them with bricks, wood or some other underground barrier. they mostly go horizontal so cutting bands out of a garbage can that are 15" deep circles would likely prevent them from going beyond that.
I've only ever run into Humulus japonica
outside cultivation, and since lupulus wouldn't likely be able to reproduce sexually, it's not a great candidate for becoming an invasive. It's also dependent on us for a lot of water (though they do grow without watering, just not as well) and pest control. They do have pest problems...
Will it take over your yard? yeah, if there's enough light.