If I click the Bevel Tool Icon, I get the Yellow Dot/Handle (not sure the Blender term for the dot). If I try to use the Yellow Dot, nothing happens. If I hit V while moving the dot, it bevels (functioning the same as the shortcut CTRL-B).
If I move the dot outwards, release left click, then I get the Bevel Redo Menu. If I then click, Vertices (Edges is the default), then the proper Bevel, snaps into place based on how far I moved the dot (without any preview). I can modify the created bevel by changing the width value, but if I grab the yellow dot again it will now create a second bevel in the same location (rather than adjusting the bevel I just created). I assume this is the intent.
My main question (in addition to the proper term for the yellow dot) is, once I’ve gotten the bevel redo panel opened, is there any way to have it keep using the vertices (or other) selections you make without having to keep hitting V each time? This would be much quicker if you need to do several similar operations (like our example) as you’d only need to make your option selections on the first bevel, and then each subsequent bevel operation, you would just click and then drag the yellow dot.