Double-click a layer's name to make it editable.
When you say "clipping path" you could literally mean Clipping Path as found in the dropdown menu of Paths panel. However, I suspect you mean Clipping Mask when a layer is clipped to the layer below. If so, press Alt as you move the mouse pointer between two layers so a little box and downward arrow appears then click to make the clip.
In the old way you could both make a clipping mask and name the layer by using the alt kay Is that sequence no longer available?
I think I understand about the naming now. If you create an adjustment layer by picking it from the bottom of the Layers panel, press Alt while you click the little button to get a prompt for a name after you pick the adjustment type from the list.
Also: Look for some of the options that used to be in the Adjustments panel to be in the Properties panel now.