Apart from the obvious intended use of pruning trees, the compact folding pruning saw allows you to collect small branches easily.
A saw is safer to use that a axe or heavy knife in cutting wood. One of the most common sources of dry wood in a forest is dead-fall.
Dead-fall is dead or broken branches fallen to the ground, and are often very dry and difficult to cut will axes as the will act like a spring when hit.
Sometimes dead-fall is a branch upside down and very dry, because of this it makes excellent fire wood or construction material.
The saw can elegantly cut of the exact pieces you want and even help you create items form the wood with precise cut lengths and flat ends of wood.
The saw is also very light compared to a small axe and very small, about the size of a small axe handle.
Price about $10 for average quality.
Available from hardware stores and gardening supply stores.