Beat butter, granulated sugar and brown sugar in large bowl until well blended. Add eggs and vanilla; beat well.
Combine flour, baking soda, cinnamon and salt; gradually add to butter mixture, beating until well blended. Stir in oats and butterscotch chips; mix well. Drop by heaping teaspoons onto ungreased cookie sheet.
Bake 8 to 10 minutes or until golden brown. Cool slightly; remove from cookie sheet to wire rack. Cool completely. About 4 dozen cookies.