Win the faceoff, go into the attacking zone, throw it around for about 45 seconds, take it back out of the zone and all the way down into your end, change two skaters without letting the other team change, make a play towards the net while doing everything you can to maintain possession. Rinse and repeat.
Since when did we go from end-to-end action to this bullshit cat and mouse game? Every team in the league is doing it now. I don't care if it works, it's boring as shit. I would rather just see them go right to a shootout if this is how it's going to be. Ideally they go back to 4 on 4.
The other thing they could do is implement some type of shot clock system where you have 30 seconds to get a shot on net after receiving possession. As it stands, if you win the opening faceoff, your team has a 70-80% chance of scoring without the other team ever touching the puck.
As others have said, maybe an over and back rule is the answer.