This is about to be the worst diagram ever so I apologize, but here we go.
Say you have a large limb, or leaning top. Sometimes you just make an under-cut, then a top cut and it pops right off. But if your cuts are mis-matched enough and if it breaks in just the wrong way, a little kerf can go with the falling piece and take your saw with it. That would probably be the most common situation, but it can happen other ways as well.
(edit: rotated the image for clarity)

S
Say you have a large limb, or leaning top. Sometimes you just make an under-cut, then a top cut and it pops right off. But if your cuts are mis-matched enough and if it breaks in just the wrong way, a little kerf can go with the falling piece and take your saw with it. That would probably be the most common situation, but it can happen other ways as well.
(edit: rotated the image for clarity)

S
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