City on the Persian Gulf (5)
(Other definitions for dubai that I've seen before include "Gulf sheikhdom" , "Port city of UAE" , "One of the UAE and its capital" , "Gulf territory" , "sheikdom?" .)
(Other definitions for kuwait that I've seen before include "monarchy" , "in Middle East" , "Oil-rich state" , "Country invaded by Iraq" , "Country on Persian gulf coveted by Saddam Hussein" .)