A "takeout place" refers to a restaurant or food establishment where you can order food to bring home or eat somewhere else, rather than dining in the restaurant itself. Full definition
Whatever, it makes an awesome dinner with quinoa and spinach, and the pizza place and the Chinese takeout place haven't seen me in their doorways, -LSB-...] (dianeabroad.com)
Look in your closet and drawers for a strong, durable, reusable bag, and take it with you to the supermarket, mall, or your favorite takeout place. (marthastewart.com)
In most takeout places, bourbon chicken is only second in sweetness to honey chicken (which, depending on the recipe, can even be less sweet). (spendwithpennies.com)