There are times when nothing but a saw will do. If it's too big for a lopper, you need a saw. In a pinch, you can pull out any old saw and use it as a pruning saw. But actual pruning saws are designed with sticky, gummy plants in mind. A good pruning saw won't gum up and bind when you use it to prune live wood.
Blades
Tree Saws - The traditional tree pruning saw (sometimes called and orchard saw), has either a straight or curved 12 -16 inch blade and a pistol style handle. The teeth cut on the easier pull stroke and it slides back on the push.
Tri-Cut Blades - Tri-cut blades have teeth that are sharpened on three sides, like a triangle, rather than traditional blades that are sharp only on two. Tri-cut blades cut faster and easier. You'll feel the difference as soon as you try one. They also stay sharper longer. Yes, tri-cut blades can be sharpened, but I won't pretend it's an enjoyable task. As with any serrated edge, it's worth it to have a professional with the right tools sharpen your saw blade.
Folding Saws - For the most part, any light pruning that can't be done with a lopper, can be handled by a folding saw. The beauty of a folding saw is it's portability. You can stick one in your garden bag or even your pocket. It's always handy, without being a weapon. And they are deceptively strong.
Pole & Rope Saws - Pole saws are used for cutting high limbs without the aid of a cherry-picker. They look like they'd be very handy, but they are difficult and time consuming to use. Balancing the pole, getting to the correct limb, staying out of the way of the falling limb and persisting through the burning pain in your shoulders the effort will cause you are some of the down-sides of pole and rope saws. Still, they are nice to have on hand for occasional use. Be sure to use gloves with rope saws.
Features and Pricing
Saws can run you anywhere from $20 to $200. Many of the same manufacturers who make pruners make excellent pruning saws. The important thing to look for is replaceable blades. Blades can be sharpened, but sooner or later you'll need a brand new blade.
Blade sharpeners start at about $15.
Besides a good blade, you'll want to look for a comfortable handle. Foam cushioned handles can ease grip stress, but wooden handles, when maintained, will last longer.