Chinook Medical Gear is one of my favorite online sources of medical/first aid/trauma gear. They recently introduced a new and very reasonably priced tourniquet pouch called the Universal Tourniquet Pouch.
This pouch appears to live up to the “Universal” billing. It will fit all of the most common tourniquets and it will work on a belt or MOLLE webbing. The pouch has a Velcro closure and has a red pull tab to visually identify it as medical gear. There is also a Velcro panel on the front for affixing patches. It is available in all the common “tactical” colors.