Hi, I have black underarms, I wax them. I don't even shave them, use hair removal cream or even apply deodorant directly to the skin. I wanted to know of any home remedies that will help in lightening the skin. I can't even wear sleeveless clothes.

Hydrogen Peroxide, the disinfectant, will bleach hair. But, be careful, read the label and don't apply too much.
This chemical was often used to bleach one's hair before the skin care people found a safer route.