Function Stops Responding Silently

I am using the latest VS 2017 tools with Function SDK 1.02 (however I was seeing this with 1.00 as well).

I have a function that transfers files from Azure Tables to SharePoint in small byte sizes. It is triggered by an azure queue.

The function is NOT a consumption plan function.

After running for a while, the function will just stop working. When this happed, the last entry in my log with verbose logging turned on states:
Received request: GET https://onpoint-large-files.azurewebsites.net/admin/functions/Files-Azure-To-Sharepoint/keys

Nothing after that.

I have not rekeyed and this has now happened on a brand new function created on 8/26/2017.

I get no errors, the function looks like it is running and in fact if I restart the function, everything continues on just fine with the next file.

I am not sure how to troubleshoot this. Any advice on how to proceed with getting to the root cause?