Heat the butter and olive oil in a large skillet over medium heat. Add the onions, anchovies, thyme, sea salt, and freshly cracked pepper to taste. Cook, stirring occasionally until the onions are sweet and golden brown, about 25-30 minutes.
Preheat the oven to 400 degrees.
Meanwhile, slice the baguette, then brush each slice with a bit of olive oil and place on a baking sheet.
Place the baking sheet in the oven and bake for 5-7 minutes, or until golden brown.
Top each baguette slice with a bit of caramelized onions, some shaved Asiago, and an olive. Enjoy.