Hi LyX developers, I just added a docker image for LyX to dockerhub: https://hub.docker.com/r/tkluck/lyx . It's just Ubuntu's packaged version, including TeX Live and inkscape, and it's intended use is to build exports from your LyX source reproducibly. For example, I have my thesis sources in a git repository, and I configured continuous integration on gitlab with this docker image.
Hope that's useful for someone! If there's interest, I'd be happy to hand this over to a more official place, maybe https://hub.docker.com/u/lyxproject ? Best, Timo