After returning to this project mentally for a couple of times, I came to the conclusion that the WiFi approach is OK-ish for a person who uses it themselfs, but overly complex especially when gifted to people in psychology which are typically not so tech. 

My take therefore would be to rely on the RTC clock, and one or two buttons for setting the time like on any other clock. This in turn means that minute-timer also is controlled by the ESP.  But this is missing something simple like a 360° servo, so need to get funky with the minutes as well. 

I completely agree with your first paragraph.  My first version indeed used two buttons and no wifi.  And that was ugly too. Plus don't talk to me  about setting DST.  As you suggest, incorporating a controlled minute hand helps but now we're looking at more than doubled power requirement. Getting current consumption low enough was THE hard problem in this project.  Given time and budget this and other issues could be improved to make this more of a commercial item.

The thing is, the only time the user would have to adjust anything is if the network changed, so if it is being gifted the giver/maker (in my experience) would be on the hook for any change.

It has been seen by quite a few health professionals including neurologists and psychologists and all but one liked it.  However nobody asked for one or how much it would cost.

If it turns out there is more interest than I expect, I will spend the time and money to make it easier and more flexible.  If not, I hope it can serve as a source of ideas for others to expand and improve on.

Sorry, I meant to thank you for your comments.  I got my mind shifted to  tech mode and forgot.

Cool idea. 👍 I assume that those numbers can be arbitrarily placed (magnetic?). The picture of them clustered on the right triggers a vague memory of a clock face drawn by a brain damaged patient I saw sometime in the past, Oliver Sacks's writing perhaps? 😳

They're attached with tiny screws.  I probably should have used magnets but it's a little tricky.  There's not much space in the numbers and the printed clock face thickness is an issue.  I can see a couple of ways of doing it though. Should there be significant interest in this, I'll add that.

There are conditions which cause people to draw a clock face like this.  The inspiration came when I was asked to draw a clock.  I knew about the test and I thought "How can they know I don't have a clock like this? The test doesn't say which clock to draw.".

I would draw a digital clock. 🤣 I think one day people would have to ask AI what "clockwise" means.

I get it, but assuming that is so; We still say "Lift yourself up by your own bootstraps" and "riding shotgun" or even "hoist on your own petard".  I think they would know what it meant but be asking AI what does a clock have to do with it and what makes it so wise.

@ clockfacenotrandomenough!

I actually use it to tell time so I didn't want to make it too hard to read.  But the numbers can be in any order.