Place the eggs in a single layer in a saucepan and cover with enough water to submerge them by one inch.
Bring the water to a boil, then immediately remove from heat, cover with a lid, and let sit for 12 minutes.
Transfer the eggs to an ice bath for 5 minutes to stop the cooking process, then peel and slice them in half lengthwise.
While eggs are boiling, cook the bacon in a skillet over medium heat until it reaches a crunchy texture, then crumble into small bits.
Carefully remove the egg yolks and place them in a small bowl, mashing them with a fork until smooth.
Stir the Greek yogurt, Dijon mustard, sea salt, and black pepper into the yolks until the filling is creamy and well combined.
Spoon or pipe the yolk mixture back into the egg white halves.
Garnish each egg with crumbled bacon, fresh chives, and a light dusting of smoked paprika before serving.