Little Oil

It sounds like you're referring to a type of condiment or sauce that is commonly used in restaurants in the United States. There are a few possibilities for what this "little oil" could be, but without more information, it's difficult to pinpoint the exact one you're thinking of.

Here are a few possibilities:

1. Soy sauce: Soy sauce is a common condiment used in many Asian-inspired dishes, and it's not uncommon for restaurants to have it available on tables or in dipping sauces. It's a dark, salty liquid made from fermented soybeans and grains.

2. Sesame oil: Sesame oil is another common condiment used in many Asian-inspired dishes, and it's often used as a finishing oil to add flavor to dishes just before serving. It has a distinct nutty flavor and aroma.

3. Hot sauce: Hot sauce is a condiment made from chili peppers and vinegar, and it's often used to add heat and flavor to dishes. There are many different types of hot sauce available, but some popular brands include Tabasco, Frank's RedHot, and Cholula.

Without more information, it's difficult to say for sure which type of condiment or sauce you're thinking of. If you have any additional details or clues, I'd be happy to try to help you identify the "little oil" you're thinking of!