This is a fruiticose lichen, meaning one with a bushy growth habit. They are common in my native state of Texas (USA), where they hang off of oak trees. Your photos look much like them. I have seen other examples in the rainforests of the Pacific Northwest, in both Oregon and Washington. I can't name the species.
In the upper left of your first photo, I see a thick, stem-like structure. This looks to me like the holdfast, the place the lichen attaches to the tree or other support.