Tape data is stored in a LocalStorage folder in a folder like C:\Users\<you>\AppData\Local\Tape
It is not possible to change where this points to at this time.
Ah.. I see. I was thinking it would be awesome to store the tasks on a network drive. I was showing Tape to the folks in the lab and they like it. But to make it 'team' compatible, we would probably have to share the same file. If it ever became multiuser, I'm sure a licensing thing could be worked out.
Either way, I am using it currently and the people I have shown it to seem to give a good impression!