Have you tried Firefox recently? It beats other browsers in terms of memory use, for example it won both memory usage categories in Lifehacker's recent shootout,
http://lifehacker.com/browser-speed-tests/
If you do see a memory problem, it might be a specific problem with the addons or plugins you use, please file a bug if so.
Due to a bunch of Chrome bugs in our game I've had to switch to Firefox the last couple of months just to be able to browse other websites. I am amazed at how much they have improved, in terms of memory/speed as well their UI. I've now switched back from Chrome and dare say that I like it better.
As others have said though, the damage was done when so many people tried Chrome. Getting them to even try FF again is going to be very difficult.
Two highly competitive open source browsers is the best scenario the internet has ever had. I just hope we don't screw something up and break the steady state.