VMware Player is a "hosted" type 2 hypervisor (running on a host OS). Because of inherent limitations in hosted virtualization on X86 architecture (especially with regard to system clock issues), it may never run time-sensitive applications well.
I use VMware Server (similar concept to Player) on my laptop to allow me to boot Windows when I need to, but I also encounter many system clock issues, especially if I let a VM run for a day or two.
One potential solution is to use the VMware Tools and specify that the system clock be sync'ed to the host; but in this case I do not believe that will solve the issue you are experiencing.
I have had excellent luck with PiaF Orgasmatron as a VMware ESX VM running on ESXi 4.0 which is a bare-metal Type 1 hypervisor, not subject to many of the limitations of hosted virtualization.
Hope this helps-
-J