If the app is placed in the background (device home button or screen off / idle mode), the timer does not continue, so that no signal sounds when the end is reached.
If the screen is in the background, the duration e.g. is set to 1 hour and the app is brought back to the foreground after e.g. 50 min, the time is running up in tenths of a second.
If you started the count up and closed the app with the device back button and then opened it again, the count up is still running
If the count up / down is started it's not possible to stop / pause it.
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Of course, some of the issues are easy to fix, but all ...