SSVNC-VIEWER (from the author of x11VNC)

[SamK]

I use this combination in other distros and find it reliable.

x11VNC is in the TC repo, SSVNC-Viewer will make an ideal partner.  It has a huge range of features including SSL, SSH, and (one of my favourites) built-in file transfer.

The web site gives a detailed description:
http://www.karlrunge.com/x11vnc/ssvnc.html
http://sourceforge.net/projects/ssvnc/