From Longman Dictionary of Contemporary Englishdozydoz‧y /ˈdəʊzi $ ˈdoʊ-/ adjective 1 SLEEPnot feeling very awake2 STUPID/NOT SENSIBLE British English informal slow to understand things SYN stupid Those kids are really dozy sometimes!
Examples from the Corpus
dozy• Too many privet leaves had made them dozy.• On a winter's day the Lords has the dozy ambience of a modernized and centrally-heated Victorian stately home.• You're surrounded by strangers, your dozy curiosity in their sayings and doings dimming as the house lights go down.• Half-closed, dozy eyes usually belong to a placid, lazy horse.• In a country accustomed to a dozy social peace the prospect of weekly demonstrations and labour unrest fills many voters with alarm.• At breakfast, a dozy waitress brings the wrong things.