Initially, the audio went silent shortly after starting the application - this was fixed by changing the sound driver in winecfg to ALSA instead of PulseAudio.
A second problem was graphical glitches:
Googling found a nice blog post about what was missing:
yum install cups-libs.i586 fontconfig.i586 gnutls.i586 hal-libs.i586 libXcomposite.i586 libpng.i586 sane-backends-libs.i586 libXcursor.i586 libXinerama.i586 libXrandr.i586 libXrender.i586After installing the above packages the graphical glitches disappeared and victory was declared: