Looks to me like a connection issue. Start by checking your fuses. Then move on to checking the connectors behind the gauge cluster and engine compartment. I'm afraid you will have to spend quite a bit of time checking and making sure harnesses aren't damaged and all connectors are properly secured.
Is it just the gauge cluster or do you have flickering headlamps and other components as well? From the video, it looks like the clock on the dashboard isn't affected. If it's just the gauge cluster, it can also be a circuitry issue on it. But you should ensure that fuses and connections are all OK first.