Problem with Pergola

Yes, it is a pergola. From your photo, it appears that the growth of honeysuckle might soon be too heavy for the wooden structure. I offer two alternatives.

1. Prune the honeysuckle and clematis in the late winter, before new growth starts. They might be dormant then, which is a very good time to prune them. Cut them back severely, leaving only skeletons of branches; you can even cut them to near the ground, leaving only a few visible growth buds. Completely remove the ivy, digging it out to kill it if possible. The honeysuckle and clematis will quickly recover in the spring and again cover the pergola. They should be pruned every year.

Or

1. Cut everything down to the ground now. Spray new shoots with an herbicide. Plant grapes that are suitable for your climate. These too require annual pruning, and they grow as fast (or faster) than honeysuckle or clematis. The benefit is a nice source of vine-ripened fruit.

Pillars may become bare at the base. To help overcome this, spiral any new shoots around the post rather than allowing them to go straight up. If there is no new growth to tie in, cut back one or two of the main stems in early spring to stimulate basal growth. Overgrown plants on pergolas should be renovated in early spring.

Growing grapes will be a far worse mess on a pergola.