Olive video editor has been installed on Debian, JuLinux, Mint, Ubuntu, and Zorin. Note julinux is under yellow-snow.net, julinux.yellow-snow.net.
It is available under Applications -> Sound and Video -> Olive.
Larger video windows may display somewhat jumpy over x2go depending upon your Internet connection but this will not affect the playback quality of the output file.
Like other graphical applications, this requires connecting via x2go. Free x2go clients are available for Windows, Mac, and Linux from x2go.org.