Why not kill the process in Task Manager if that will get you started again?
I did state I'd rather not kill it, but it is indeed workaround. Still, I'd like to know if there's a way to resolve this none of the less.
You can always try asking Support directly but it may be difficult for them to help you since you can't duplicate it.
Scratch that... it's happening again. When trying to start a new Project, a new Project Suite, close the current suite, or TestComplete program itself.
EDIT: Since it comes and goes, I'll chime back if it does return with more frequency and better able to be reproduced. For the time being, pending an update from SmartBear, workaround is to save all your work, then have Windows kill the software program.