I had to set up a webcam, in my case a Canyon CNR-WCAM413.
Set up atrpms repo (if not set up before).
[atrpms] name=Fedora Core $releasever - $basearch - ATrpms baseurl=//dl.atrpms.net/f$releasever-$basearch/atrpms/stable gpgkey=//ATrpms.net/RPM-GPG-KEY.atrpms gpgcheck=1 enabled=1
Use yum to set up the driver:
yum -y install gspcav1 modprobe -v gspcav
Should work without rebooting.