Heat a medium nonstick skillet over medium-high heat. Add butter and olive oil. Once hot, add the scallops in a single layer. Season them with salt and pepper and let them sear until brown and crisp, 2 to 4 minutes. Turn the scallops and sear the second side until brown and crisp, another 2 to 4 minutes. Remove from the heat and place scallops on a warmed plate.

Combine lemon, shallot and garlic in a medium bowl; season with salt and pepper. Let sit 5 minutes. Stir in oil, parsley, cilantro and chives. Season with additional salt, pepper and lemon juice, if desired.

Spoon salsa over scallops and serve.