Brain Teaser: What Aromatherapy Oil am I?

Can you identify what plant this essential oil comes from?

Joey Dee and The Starlighters sang a Top-10 hit about me called "______ Twist" in 1962.
Traditional folk remedy uses me as a digestive aid.
I was the first LifeSavers flavor.
Clinical studies have shown that I significantly reduced the pain in irritable bowel syndrome.
In India they hang fresh bunches in doorways and open windows allowing the breeze to carry the scent throughout the house. The aroma is said to symbolize hospitality.
I am a popular toothpaste flavor.
My leaves were given as an