How to autorefresh the container for this

I have used this plugin for a while now, and like it.

But I wish it had a way of causing an auto-refresh of the div containing the shortcode, so that it can automatically update the date on the page, as it displays from one day to the next. A very occasional autorefresh is probably all that’s required. I don’t expect my users to be sophisticated enough to know to refresh the page when the date/time shown is out of date.

I realize that this is perhaps a more general-purpose question, probably involving the use of AJAX, but if there’s a simple way of doing it, that would be very much appreciated!