I assume this is what you found:
Does LogMeIn support Windows 7?
LogMeIn officially supports Windows 7.
Windows 7 has not been tested with LogMeIn Backup or Network Console. We do not recommend that you use Windows 7 with LogMeIn Backup at this time, due to the potential for data loss.
That says it DOES support Windows 7 (hard to imagine it wouldn't given the potential loss of business from such a core product). What it DOESN'T support is LogMeIn Backup or Network Console. That's a completely different product.
Remember too, there’s really isn’t any data to be lost w/ a remote desktop application anyway (iow, it doesn’t even make sense). But obviously one could imagine a data loss issue w/ a BACKUP application.
And no, I personally haven't used it w/ Windows 7.