Climbing Rose & Honeysuckle growing together

I have a climbing rose and I've noticed the honeysuckle is growing wrapped around the main stem of the rose. should I cut back the honeysuckle to the base and re-train it?

 

When lonicera or clematis is grown along with roses, in fact with most mixes. It's wise to keep the twinning plants under control.

 

Thanks for the info, I'll prune it back.

 

Thanks, I've got 3 to prune in total so I'll just cut them back in the winter months ready for next year.