Assuming we are speaking of the chromium-browser extension from the tc-10.x x86 repo...
I just downloaded and loaded chromium-browser and it worked fine - I was using Xorg-7.7-3d at the time.
There were a couple of error messages (the dbus daemon was not running), but that didn't prevent things from working: $ chromium-browser
[6969:6979:0410/091105:ERROR:bus.cc(307)] Failed to connect to the bus: Failed to connect to socket /var/run/dbus/system_bus_socket: No such file or directory
[6:6:0410/091105:ERROR:nss_util.cc(452)] Error initializing NSS without a persistent database: NSS error code: -8023