I believe this is powdery mildew. You can buy fungal sprays for it.

But honestly you can defeat it with water.

Powdery mildew likes humidity, but surprisingly doesn't like water. Just spray the leaves with water every day.

It prevents it from being able to grow on your plant.

Roses here are very prone to powdery mildew. I spray my leaves every time I water, to keep them looking healthy.

My honeysuckles get powdery mildew as well but I'm too lazy to do anything about it. There are several things to try aside from spraying the leaves with water in the morning. :)

http://www.growingagreenerworld.com/controlling-or-eliminating-powdery-mildew/

ordphien,

Thank you for stating that about powdery mildew. My grandmom always told me that about roses, she said "wet the leaves, and while your at it, water the plant", when her roses got powdery mildew. It worked, all the time.

I do that with my roses, and we have it here in South Carolina really bad.

I always use the hose, and water my plants well, spacing them far apart from each other. Some people will swear it won't work. It does, and I do what works.

There are so many untrue myths in gardening it is incredible. I say, try it. If it works, do it.

Good luck with your honeysuckle, It will be fine, I hope it grows awesome for you next year too.