I have the Protect Scotland app on Android. The app states that it can be closed and will keep working.
I opened the app to have a look just now out of interest and it immediately came up that it was doing an exposure check. I then had a look at the Exposure Checks log in Settings and that was the first check it's done since 16th December. On 12th December there are checks every two hours for most of the day, then there's one check on 16th and nothing again until today.
Does this seem like a problem, or is everyone's app doing the same thing?