Glue Crust Fungus (Hymenochaete currugata), may not win any beauty competitions within the fungus world, but could certainly win a prize for resourcefulness. The small piece of broken Hazel branch is being held off the woodland floor by the fungus attached to the other branch alongside, whilst it feeds on it.
If it had eaten its own branch then it would have eventually fallen to the ground with it, and would then have had to compete with the rest of the fungus world for the remaining food.
Glue Crust Fungus is a fairly common species, usually found growing on hazel. The photo on the right however would seem to show Glue Crust Fungus growing on a piece of willow, whilst also capturing an acorn cup.