The quickest and least painful way to get FurBot running under WINE. Though, it's still not entirely painless...

Note that this should, but may not, work on all Linux distros that support the software used.

This is what I used, to be specific:
Ubuntu 8.10 All core updates as of March 22nd
WINE 1.0.1 Also updated March 22nd

If you come across any problems or, even better, come across a solution to a problem, whisper me(Calite) about it. I'll glady add it here.

Now for what you came here to find:

You'll need these installed for this to work:
WINE
Winetricks
Cabextract
Furcadia & FurBot (Duh)

1. In the terminal, type this command:
    sh winetricks comctl32 comctl32.ocx vb6run ie6
2. You should get through the comctl32, comctl32.ocx, and vb6run installers with no problems if you just follow them.
3. Go through the ie6 installer normally. Once you've installed it, the terminal may get stuck. If it does, just break(ctrl + c) the execution of the script. IE6 will have installed properly.
4. Now type this command:
    sh winetricks controlpad
5. Go through the ActiveX installer. You will get an error. Hit 'ignore'. The rest should work fine.
6. One more time:
    sh winetricks vcrun2008 jet40
7. Go through the installer for Visual C++'s runtime and that's it. Furcadia and FurBot should now work fine under WINE. Have fun!