Whisk the eggs with a pinch of salt and pepper. Slice the smoked salmon into strips and the avocado into slices.
Melt the butter in a skillet over low heat. Pour in the eggs and gently stir with a spatula until just set but still creamy.
Remove the pan from the heat and transfer the scrambled eggs to a plate.
Arrange the smoked salmon strips and avocado slices alongside. Sprinkle the finely chopped chives over everything and serve immediately with freshly ground pepper.