No problem with Kaveri and Kabini at least. Just remember to properly remove the old drivers first.
On my *buntu system i do this: sudo apt-get remove --purge fglrx*, reboot, sudo ./amd-driver-installer-14.501.1003-x86_64.run --buildpkg Ubuntu/trusty, sudo dpkg -i fglrx*.deb, sudo amdconfig --initial, reboot. That seems to work every time. Dunno if its necessary with all the reboots.