If you have never owned a saw or even a knife, you may not be aware of how you are supposed to take care of it. One surefire way to ensure that your saw lasts a long time is to properly oil and lubricate the blade (and possibly the handle). In fact, you could even lubricate the blade after each use. To do so, spray either gun oil or WD-40 on a rag and thoroughly wipe down the blade with the solution. Or, if you happen to have some paste wax, then go ahead and wipe that on your blade. However, if you choose this method, make sure to wipe off the paste wax after a few minutes. Either of these methods will help the performance of the blade and also prevent potential rust.
As far as the handle goes, if it is made of wood, you could sell it off from moisture and dirt with linseed oil.