Comment 5 for bug 1963762

If there is an unresolved dependency, it should spit out some errors about that, but apparently, it does not.
And I think launchpad (package build services for Ubuntu) should not allow to build such a package too.

From what I can see, it actually hangs on the command:
systemctl start timekpr

When you try to install timekpr-next, can you open parallel terminal and check whether timekpr startup hangs on just the systemctl hangs.

Just: ps -ef | grep timek

If there is just systemctl command, try running timekpr server manually (just to verify it can start and there is no problem with DBUS):
sudo timekprd

After running it manually try to open admin application with (SU) at the front of application to verify that timekpr server is running.

Let's try to pinpoint what happens.