Preheat your oven to 425°F.
Place the pie crust in a 9-inch pie plate, folding and crimping the edges as desired.
Put the crust in the refrigerator for about 30 minutes to keep it firm.
Trim the asparagus by removing tough ends, and cut into 1-inch pieces.
Sauté asparagus in olive oil over medium heat until tender, about 5 minutes.
In a mixing bowl, whisk together eggs, heavy cream, salt, and pepper.
Stir in the shredded Gruyere cheese and chopped chives.
Spread the cooked asparagus evenly over the bottom of the pie crust.
Pour the egg and cream mixture over the asparagus.
Bake in the oven for about 35 to 40 minutes, until the filling is set and the top is golden brown.
Let it cool for a few minutes before slicing.