It does look like a climbing rose, and there are varieties with few or now thorns, but I can't say exactly which without seeing the flowers. I'd expect it to grow quite large and eventually flower this summer.
I've posted pictures of this plant that survived the freeze. They also may not give a clue, but you can see how this thing grew since May of 2012. That's when I discovered the chopped back canes upon removel of some horseweed.
Do you still think it a rose of sorts? If a rose, when to prune for the coming 2013 season?
To me, this plant resembles a Buddleia davidii in form and the leaves. However if it is a Buddleia, also called a "Butterfly Bush", it really was hacked and seems like the plants beneath it are choking it out. (Also spelled Buddleja)
Buddleia davidii is a popular landscape plant, blooms in summer through frost at the tips of the branches and the leaves do persist over the winter in your area. It blooms on new wood, which means that you would prune it in very early spring to force new shoots, something that the previous owners might have tried to do.
Some of the cultivars are well behaved and some are rangy and sprawling. You could even have a wild-seeded plant, because it is placed so close to your wall.
Buddleias are considered invasive in some areas, and deer ignore it.
Nope, not Buddleia but still not sure if it's definitely a rose.
Try this, hold a piece of paper behind one of those shoots while you take the picture. I think that second shot could have been a good one if it was in focus. The paper will help with that. I think the leaves I'm seeing are divided into five leaflets. If that's the case it could be a rose indeed.