Move the blade back and forth in the clamp as necessary ... so it's all right to sharpen the pruning saw more frequently than you perhaps think you need to do. In fact, the more often you sharpen ...

Simply lay the jig flat on the saw's tabletop, turn the blade so that a tooth rests against the diamond hone, and move the jig back and forth to sharpen the tooth. Then move on to the next tooth.

Or, as we discovered in Consumer Reports recent tests of chain saws, you can buy a $60 kit that's compatible with most major-brand chain saws and lets you sharpen the saw yourself in seconds.