The Chrome team is working to bring it’s browser Chrome 2.0 to Mac and Linux before June this year. You can see the developments in Mac here and here. You’ll need XCode 3.1 and gclient. Chrome won’t run on OS X 10.4 and that PowerPC support currently is not planned.

And the Linux pages states -

There is no working Chromium-based browser on Linux. All you can build are some unit tests and a program used for testing the way the browser will render pages.