Can wasp lose stingers in clothing and can stinger continue to sting?

No, a wasp cannot lose its stinger.

However, honeybees do lose their stinger (and life) when they sting a person. And their stinger continues to pump venom into the victim after it has become detached from the bee. The stinger of the wasp is not barbed and can be used again and again, while the honeybee stinger is barbed and remains in victim's skin.