Preheat oven to 350 degrees. Coat a baking pan with 1 tablespoon of butter.
In a medium skillet, melt remaining 3 tablespoons of butter over medium heat. Add chicken and saute for 3 to 5 minutes per side or until browned; transfer to prepared baking pan.
To the same skillet, add the flour; cook over low heat for 2 minutes. Gradually stir in cream; cook and stir for 5 minutes or until sauce have thickened. Stir in 1 tablespoon of cheese.
In a small bowl, whisk egg yolks with 1 tablespoon of the warm sauce; blend well then add mixture to the sauce in the skillet.
Coat chicken with sauce, remaining cheese and bread crumbs; bake for 10 minutes.