Yeah, I have it on Ubuntu 7.10. It works pretty well, except for calculating the list of relationships. It crashes then. Other than that I haven't found any problems. It's running under Wine windows emulation software.
If you have a specific function you need to work in Generations, let me know what it is and I'll try and see if it works under Linux. I don't have a printer configured for Linux so not sure how it will print.