The Salvaged Axe is the workbench level 2 tier of Wood gathering tools in RUST. It requires no fuel to operate but takes consistent durability loss while being used to hit trees or any other entity.
Unlike Chainsaws, the salvaged axe will require players to strike trees manually to bring them down.
There is a chance of finding a salvaged axe from most mid-to-high-tier crates or as loot from most scientists. It is relatively low on the tier 2 workbench tech tree, so learning and crafting them early is also an option.
It is quite normal to use a salvaged axe as a melee weapon, sometimes going so far as to use it as a soft-side raiding tool.
You can take several steps to improve your axe-wielding gameplay when farming. Combine your axing with drinking a wood-gathering tea. Doing this just once with a Pure Wood Tea will likely net you enough wood to last until wipe.