I'm a fan of wild trumpet-vines that grow, down here in south-eastern Alabama. Hummingbirds go crazy for them. I tried to excavate a wild one and bring it to a previous home that we lived in a few years ago, but it didn't survive. I have heard from folks that they can destroy structures and choke out trees. The term "aggressive pruning" is often used in the same sentence. I do belive, however, that the red trumpet is a native species here in the south.
I like honeysuckle, but agree with HPippert, that they are and can be highly destructive to native environments. In fact, I think Florida lists Japanese honeysuckle among their top five most aggressive flora species.