I'm experiencing an issue apparently identical to the one referenced here:
It appears there wasn't enough activity on that topic to keep it active, so hopefully I have better luck here. I have a total of five applications on shinyapps.io, most of which are private. Four have existed for some time (many months), and one was created just a few weeks ago. The one that was just created is the only one that currently has a log in the shinyapps.io dashboard. The other four all state "This application currently has no logs."
I discovered this when I was trying to refresh one of the applications with some updated code, but was unable to use the logs to troubleshoot why my changes caused a disconnect from the server. In other words, I know that there should be a log because I've interfaced with the application very recently.