Heat oven to 350°F. In ungreased 13x9-inch pan, break up cookie dough. Press dough evenly in bottom of pan to form crust. Bake 14 to 18 minutes or until golden brown. Cool 5 minutes.
Meanwhile, in medium bowl, mix peanut butter, frosting and oil until well blended.
Spread peanut butter mixture over warm crust. Place chocolate chips in small resealable food storage plastic bag; seal bag. Microwave on High 1 to 2 minutes or until melted. Snip very small hole in one corner of bag; squeeze bag to drizzle chocolate over peanut butter mixture. Sprinkle baking bits evenly over top. Let stand until chocolate is set, at least 30 minutes. For bars, cut into 6 rows by 4 rows.