Bamboo grows pretty much with anything. The biggest problem would be if the bamboo blocks out too much light for the clematis, but otherwise, there should be no problem as long as you care for them..

Kt

I think you're kidding yourself if you think you will be able to contain a running bamboo in that container. Even if you used a 60mil poly, it's intended use is underground where the weight of the surrounding soil helps it to drive rhizomes deep.

I intend to get the rysome barrier. I kinda figured that the box would be a one season only fix.
The problem is my soil is very rocky. As in nothing but rocks. It's going to be fun digging down to get the rysome barrier installed. I had to get the plants in the ground before they got sick.
I'm also in Zone 3b, though we have pretty mild winters for the most part we can get a week where the temp can dip below -30C . So anything I don't protect with a deep layer of mulch might not survive

Unless you find some way to heat that box, I think the bamboos won't survive -30C.

Although Calgary is classed as zone 3b we actually have very mild winters. It's usually only a couple days where it will dip below -20 or greater. The place I bought them from said these are hardy to -32.
I'm going to burry them in thick mulch in fall. If they survive to next season I'm going to dig around the box for the rysome barrier.