Claims Adjuster - "You mean a CAR ACCIDENT?"
Jean-Baptiste - "Yea.."
Claims Adjuster - "Did you have any passengers with you?"
Jean-Baptiste - "Yea.. my brother, my sister, my friend Pierre Jean, my wife, and my twee kids.."
Claims-Adjuster - "I'm sorry sir, your what children?"
Jean-Baptiste - "My kids!! I have TWEE OF DEM!!!"
In American English it often refers to a type of simple sweet pop music, but in British English it is used much more widely for things that are nauseatingly cute or precious. It comes from the way the word sweet sounds when said in baby talk.
Jimbo: "Yeah Lacey is so twee"