There are various log files stored on the QlikView_Server, among them details on all the tasks running. I will have a look to see if I can find it.
I think we used HIERARCHY somewhere to display which tasks are dependent on others and the result is a very practical overview, showing all tasks and whether they are dependent on another task or scheduled for a specific time.
P.S.: Yep, I have found it. There is a series of xml files for all the tasks in the subdirectory >> DistributionService\Tasks <<
I can attach that part of the app incl. the frontend, it's not a secret and there is no sensitive data.