Beat together butter, brown sugar, and sugar at medium speed until light and fluffy. Beat in egg and vanilla.
At low speed, beat in flour mixture until blended. Fold in oats and chocolate chips. Cover with plastic wrap; chill for 1 hour.
Preheat oven to 350*F. Grease 2 baking sheets.
Shape dough into 1-inch balls. Place cookies, 2 inches apart. on prepared baking sheets. Flatten each cookie slightly.
Baking cookies until lightly browned around edges, 10 to 12 minutes. Transfer baking sheets to wire rack to cool slightly. Transfer cookies to racks to cool completely.
Notes
Make dough ahead of time and freeze it. Later use defrosted dough to make homemade cookies in minutes.