Preheat a grill to medium. In a small bowl, whisk together melted butter, chives, parsley, garlic and salt.

Using kitchen shears, cut top of lobster shell from meaty portion of tail. Using a knife, cut halfway through meat down the center, without cutting all the way through. Insert a skewer lengthwise through the lobster to keep lobster from curling up when cooked.

Brush all over with oil and season with slat and pepper. Grill flesh side down until lightly charred, about six minutes. Flip lobster and dollop a spoonful of butter mixture on flesh side. Grill until just cooked through, about 5 minutes more.

Remove lobster from grill. Serve.