I didn't see a download link for a current Linux version on the first page. (Searching the thread neither, but I can be an idiot, maybe I missed it.) It was an easy fix for me, though:
1. Download and extract v0.2 for linux
2. Download and extract v0.3 for windows
3. Copy everything from the windows version into the Linux folder (overwrite existing files)
4. The version in the linux folder is now also v0.3
It's Ren'Py, there are probably other ways of getting this done. But this particular method required me to understand nearly nothing, so I liked it.

Maybe it is useful to someone else, too!