What this screen is
What is on each court now and what is queued behind it, with an estimate of when each match starts. Anybody can open it - no account, no sign-in.
Where to find it
Every club has its own. Open the club's page and choose Order of play, or press See the order of play after checking in. If you open it from somewhere that does not say which club, it asks.
Why the estimates move
They are worked out from how long matches are actually taking today. A court running late pushes everything behind it, which is why the estimate you saw twenty minutes ago is not the one on the screen now.
Why they are estimates
Nothing here is a promise. A five-game match on Court 2 moves every time that is behind it, and a screen that pretended otherwise would be worse than one that says so.
What is not on it
No phone numbers, and nothing anybody has not already put on a scoreboard. It is a public page and it is written to be one.
If your match is not listed
Matches appear once the desk has put them on a court. Before that they are on the fixture list rather than in the queue.