Preheat the oven to 375 degrees F. and move oven rack to lower third of oven. Line a baking sheet with a piece of foil and set aside.
On a floured surface, roll out your pie dough into a large disc, about ⅛" thick. Transfer your dough into a 9-inch pie pan and gently press it into the pan.
Use a paring knife or scissors to cut off any excess dough, leaving about ½" of overhang. Fold the overhang underneath itself so that it's leaning on the edge of the pie plate, and crimp the edges with a fork. Place in the refrigerator to chill.
In a medium saucepan, combine the butter, corn syrup, brown sugar, and salt over medium-low heat, until butter is melted. Remove from the heat and stir in butterscotch chips. Let the mixture sit for 5 minutes.
In a large mixing bowl, whisk the eggs and vanilla extract until well blended.
Pour ¼ cup of the butterscotch mixture over the beaten eggs, whisking continuously. This will help to temper the eggs. Add another ¼ cup, stir, then add the rest of the mixture, continuing to whisk until fully incorporated. Stir in the pecans.
Pour the pie filling into your prepared pie crust and place onto the foil-lined baking sheet.
Bake for 60-65 minutes on lower oven rack, or until most of the pie seems stable with just a slight jiggle left in the middle when moved.
Let cool for 2 hours at room temperature, then serve with your favorite toppings or refrigerate for later.