My favorite multitool, a Leatherman Wave, has a dandy saw which is perfect for slicing through small branches. About 4 inches long, it can easily cut anything 2 inches or so in diameter, which is about right for this use. A Wave is not what you would call lightweight, but I definitely carry one in the winter, especially if I using snowshoes or skis, and I make sure I have set it up so that I had the right tools to work on bindings, stoves, and other critical gear.

I tend not to use this saw for chores around the house where other tools are available, since I want to keep it sharp for the backwoods occasions. I suppose I can get it resharpened, but that is a bit of a hassle