Woodsworm
Well I just pruned mine back so when I saw your post I went to William Cullinas' Native Trees, Shrubs & Vines to check." You can liberally prune the vines in winter, which will delay flowering but usually will not prevent it, as blooms come from the short spurs on older stems first, then the tips of more
vigourous new stems later in the season." ....."I like to leave the larger vines and just thin them out in late fall, pruning off some of the suckers from the base as well.
I usually just prune to fit the space. Lovely, aren't they? The Hummingbirds love them.
Pixie

Hi, as the honeysucle vines are quite rampant you may feel free to prune off anything that grows perpendicular from the fence. If you don't, the vine will grow over anything nearby. Soon enough, the fence will look more like woody vines than chain link. enjoy...

cmore green
Lonicera sempervirens is the native honeysuckle. It is not the invasive thug that the imported honeysuckle is. I've had 5 vines for 10 years and none of them grow more than 10' to 15'.
Pixie