Combine the butter and both sugars in a mixing bowl and beat on medium speed until light and fluffy, 2 to 3 minutes. Add the cream, vanilla and salt, and mix for another minute or so, until combined. Scrape the sides of the bowl, then reduce the mixer speed to low and gradually add the flour, mixing just until incorporated. Using a rubber spatula, stir in the chocolate chips. Refrigerate for at least 30 minutes, or up to 2 days.