The solution:
Add these two subs into your code when using ASRoundSlider + Clock:
Public Sub ASRangeRoundSlider1UpdateValue1(newValue As Int)
ASRangeRoundSlider1.Value1 = newValue
ASRangeRoundSlider1.Draw
End Sub
Public Sub ASRangeRoundSlider1UpdateValue2(newValue As Int)
ASRangeRoundSlider1.Value2 = newValue
ASRangeRoundSlider1.Draw
End Sub
Set the handle (example handle1) with this code to the actual time:
ASRangeRoundSlider1.Value1 = (DateTime.GetHour(DateTime.Now)*60 + DateTime.GetMinute(DateTime.Now)) Mod 720
The mod 720 is needed to display the 24h time correctly on a 12h clock (720 minutes full circle).
If you are using the same line of code in the Value_Changed sub, don't forget to remove the mod 720, it is needed there.
Thanks to Daestrum and Alexander Stolte for guiding me the right way!