Heat butter in a small nonstick skillet over medium and add mushrooms. Cook for a few minutes until they start to shrink and get glossy (stirring occasionally). Remove from heat and season with 1/4 teaspoon of the salt and a few cranks of black pepper.
To a medium bowl: add eggs and the half and half, whisk well. Add the remaining 1/4 teaspoon of salt and more black pepper.
Place the pie crust on a baking sheet (leave it in the tin it comes in). Add the cooked mushrooms, followed by the goat cheese and chives. Lastly, pour egg mixture over the top.
Bake for about 40 minutes (make sure the middle is set). Remove from oven and let rest for 5-10 minutes before slicing.