The biggest problems come from trying to cut with the saw blade in a horizontal position. This puts too much pressure on the blade.
Set your work on a jeweler's pin, which is nothing more than a small board with a slot in it. Move the saw up and down vertically, with very light pressure. You need to hold the handle lightly, as in playing the violin, not hoeing the garden. Let the saw feed itself through the work.
If you find the saw binding, you could be:
1)cutting too fast
2)not using lube
3)blade is dull
4) changing the angle of the blade during the cut. (this is the most likely problem)