Kernel not recognizing your hardware? Problems with power management or PCMCIA? What hardware is compatible with Gentoo? See here. (Only for kernels supported by Gentoo.)
What's the right way to get 32 bit OpenGL support on 64 bit Gentoo for people like me who are unwise enough to use modern ATI graphics cards?
emul-linux-x86-opengl does not include a 32 bit radeonsi library, so it seems the open source drivers are not an option. The proprietary drivers do include the right 32 bit libraries, but those are incompatible with glibc 2.18 (see the bug report here: http://ati.cchtml.com/show_bug.cgi?id=886 ).
Newer multilib gentoo has 32bit mesa and xf86-video-ati support and should include radeonsi if you have it as a videocard in your make.conf. You need to enable ABI_X86="64 32" in your make.conf. It's still a bit unsupported I believe and will probably require an ~ system and even then a fair bit of unmasking. You probably want this if you go with the open source drivers, though, as the newer the better in that case. They do work well on my AMD laptop at least, which has a northern island APU and southern island dgpu. The dgpu is starting to catch up in performance and support, so it may work well for you.
As for the prop. drivers, I can't recommend anything there. I'm waiting on the new 14.1 beta to see if anything has improved on that side; that might fix the glibc issue you are having as well. The beta doesn't seem to be in the main repo or an overlay at the moment.