How it works
(Apologies in advance for the tech-speak.)
Behind the scenes, ClipStitch uses ffmpeg.wasm, a build of FFmpeg that runs directly in your browser thanks to WebAssembly.
What does FFmpeg do?

Good question!
FFmpeg is an established library and program to convert and manipulate videos. It can trim videos, convert between different video formats, combine videos (like this site does!), and much more.
Here's how FFmpeg developers describe it:
FFmpeg is the leading multimedia framework, able to decode, encode, transcode, mux, demux, stream, filter and play pretty much anything that humans and machines have created.
What does WebAssembly do?
Another great question. How did you get so good at asking questions?
WebAssembly makes it possible to use code from various programming languages directly in your browser. Another project of mine, Pyrfecter, uses WebAssembly to run Python in the browser, for example.
Traditional web applications have to send videos to a server to be processed, which is slow and expensive. With WebAssembly, your videos can be processed without leaving your own computer.