Another application would be if a doctor recommends reducing the dose, but you still have a lot of the originally prescribed pills.
It's common in dog medicines to split pills since dogs come in a wide variety of sizes and the dose is typically based on weight.
In fact the opposite happens here, you end up with instructions like "Take ten", each of which has to be individually popped out of a blister pack.
Another comment mentions Metformin. This is more of a hassle since I find the 1g tablets awkward to split with my pill splitter due to the size, and yet for some reason finding the 500mg version is rare for me.
Daphne (The Cat) Lastname.
(That said, uh, I don't use a fancy 30$ metallic pill cutter, but a cheap plastic one with a V-shaped slot that holds the pill in place.)