My big complaint with Chrome is the speed. If you've chopped off all the "bulky" aspects of Firefox and Opera, then your browser should run SIGNIFICANTLY faster than the two; instead, Mozilla Seamonkey still outperforms the shit out of Chrome for me, and Seamonkey also loads a code editor and several legacy Mozilla plugins that didn't find their way into Firefox.
Chrome, to me, looks like a junior or senior-year software design student's attempt at maximizing screen space without sacrificing browser functionality. The only real advantage it has over other non-minimalist browsers is full CSS support (which Dillo and Seamonkey [sometimes] lacks), as well as Flash and other multimedia plugins (which can sometimes be a chore for Firefox). The lack of Linux support is killing it, though.
I've heard of a beta linux binary developed for Debian systems, but since the only Debian-based system I run is my work computer, and since I haven't had the chance to do anything BUT work while at work, I haven't had a chance to verify this claim. Since Mozilla is raising a huge stink about people using the trademarked names Firefox and Thunderbird without users explicitly agreeing to Mozilla TOS's (which is why we have apps like Iceweasel), I could see Google stealing a good deal of market share by making Chrome available freely to Linux systems. All they need to do is make it based on GTK libraries (which shouldn't affect the appearance), and they'll have a real contender in the *nix market.