Preheat oven to 350F degrees.
Place the rolled up piecrust dough on the counter (unwrapped). The package gives instructions to let stand at room temperature for 15 minutes but many people overlook it.
While pie dough is standing at room temperature, make the filling.
First, melt butter in the microwave for 30 seconds. It will be almost melted but not too hot. Add the egg and beat with a fork or wire whisk until the egg white is frothy and the butter is smooth.
Add the honey and stir well. Stir in the chopped peanuts. Set aside.
Carefully unroll the pie crust dough. Use a smooth cylinder-shaped glass or rolling pin to smooth out any "wrinkles" and make the circle 12 inches. (It comes in 11 1/2- inch circle.)
Cut out 16 rounds with a 2 1/2-inch cookie or biscuit cutter. Tip: It helps to use a thin spatula or dough scraper to lift up the rounds over to the mini muffin pans. Re-roll dough to cut out 2 more rounds.
Tip: I have found that if I place the side of the pie crust rounds that was touching the countertop up and away from the muffin tin, they never stick! Be sure to wipe off any filling from the muffin pan before baking. You will thank me when it comes time to wash the pans. ;)
Using your fingertips or a tart tamper, gently press the dough to the bottom of the mini muffin pan. No need to grease the pans. (The tart tamper helps if you have long fingernails that tend to puncture the dough as you press on the bottom.) Don't press too hard into the pan to avoid the crust sticking.
Fill each tart shell with about 1 tablespoon of filling. Be sure to stir the mixture in the bowl occasionally because the peanuts rise to the top.
Bake on the center rack of the oven at 350F degrees for 19 minutes or until the center of the filling is puffed and the crust is golden brown.
Remove the pan(s) from the oven and immediately run a sharp knife around the outside edges of any tassie where the filling has bubbled over.
Instead of transferring the tassies to a wire rack (that you'll have to wash later) to cool, use the knife to gently tilt them to one side in the muffin pan to cool right in the pan.