Hey DaveSC,
Sadly no. The issue still continues to pop up on a regular basis. From what I've gathered it appears to be a problem with the LogMeIn Service, or one of its dependencies. This may be a shot in the dark but you could try setting up a recovery response for the LogMeIn Service. My thought is for first and second failure restart the service at 1 and 2 minutes, and on subsequent failures restart the computer. I have not tested this theory yet, but please let me know if you have success trying it out. I'll keep you updated if I have the time to try this fix.
AshC I have tried calling support when on site, and they ask for remote access to the host, which my clients do not authorize due to NDA's and privacy policies. I would be happy to try to walk through the problem with support without them creating a remote session to my client's host. However, phone support appears to be unwilling to help in this manner.