Posted: Today at 11:24
Both of these plants are vigorous twining climbers that don't need much support - they just fling themselves over whatever is nearest. You could have tied them in to the wires as they grew to persuade them to grow in the right direction. I wouldn't bother with mesh, it just makes the plants much more difficult to prune.
I don't know where you live, but that particular honeysuckle is only borderline hardy in the UK. Clematis montana will always form a huge tangle of stems - I've just cut mine down to the ground as I am replacing the fence, but the fence was completely covered, and the plants were growing into the nearby trees, without any form of wires or mesh. I expect the clematis to regrow in a very short time!