What's it called in your State?
Everyone basically referrs to a "CCW". Of course in reality, your license (or is it a permit in your State?) is often called something else (CCW, or carrying a concealed weapon, is actually a crime they charge you with for carrying without the permit/license in many jurisdictions).
Here in Michigan, it's properly termed a Concealed Pistol License, or CPL. And unlike some States, it covers pistols only, no other weapons such as knives etc. (broad definition of pistol includes all handguns here).
So, what State is yours from, and what's it's "proper" ABC nomenclature?