I got TillyPaint working on my eeePC – it’s a very simple finger-painting program wot I wrote aimed at very young children. The idea is that you can make a mark without clicking the mouse, which almost all paint programs require you to do. You can find versions of it for MacOS X, Windows and Linux here.
The Linux version isn’t quite right – it clearly doesn’t run full-screen like it should and holding down the shift key doesn’t stop it drawing like it should, but the basic idea works.
To install it, I just downloaded the ZIP to my personal folder, right-clicked on it in the file manager to unzip it then did the same to change its permissions (under properties) to make it excecutable and then launched it by double-clicking on it in the file manager. This is probably a hideous crime against Linux, but then I’m no Linux power-user let alone developer… :-)