In a medium bowl, cream butter and sugar, then add in egg and vanilla and blend until smooth.
In a separate bowl combine flour, baking soda, salt, and nutmeg. Add the flour mixture to the butter/sugar until blended then gradually work in the oatmeal and chips.
Roll dough into 4 equal size logs and chill for 10 minutes.
Line a small baking pan with parchment paper. Using a small ice cream scoop, make 12 ice creams balls and return to freezer.
Preheat oven to 350 degrees.
Slice chilled dough into 1 inch thick pieces, flatten slightly and baked on parchment lined baking sheet 9-11 minutes.
Allow to cool on baking sheet for 5 minutes before transferring to a cooling rack.
Make ice cream sandwiches by placing a frozen ice cream ball in between two cookies. Makes 12 sandwiches.