Id be interested in knowing how far you get with this.
Ive got a couple of these, a 3350 and a t1010 (compaq variant of the 3360se). As far as I know, nobody has been successful getting linux to completely boot, but some have gotten very close. Its a mostly standard gxm/geode design with extra flash, so the geode code in LB ought to work. You'll need a laplink cable and some software if you flash onboard (ie not the hotflash method).
Here's some links: http://www.ussg.iu.edu/hypermail/linux/kernel/0504.3/0926.html http://winterm.gaast.net/main.php/intro.html http://winterm.gaast.net/downloads/ for the software you'll also need xfer.exe from wyse.
The cardbus bridge might cause trouble if you have a "WYSE Shamrock" chipset. Im unsure what if any documentation there is on it. (my 3350 uses a common TI bridge, the t1010 has the shamrock). There's also a Lattice GAL soldered on there somewhere which could be anything.