Preheat the oven to 375°. Line two large cookie sheets with parchment paper
In a stand mixer fitted with the paddle attachment, cream the butter, brown sugar, sugar, on medium speed until fluffy, about 2 minutes. Slowly beat in the egg, vanilla, and molasses and mix until smooth, scraping the sides as needed.
In a medium bowl, whisk together the flour, baking soda, salt, cinnamon, and oats until combined. On low speed add the flour/oat mixture into the creamed butter and sugar. Mix about 1/3 cup of flour mixture at a time. The just beat to combine.
Using a small ice cream scoop, scoop out the dough and place on parchment paper about 2 inches apart. You get about 10 cookies per sheet.
REFRIGERATE THE BAKING SHEETS FOR AT LEAST 20 MINUTES
One sheet at time, bake the cookies until light brown about 10-12 minutes. Let the cookies cool on the baking sheet for about 30 minutes.