Half-sleeps is a term used to describe a state of semi-consciousness. It is a combination of being awake and asleep, and is often experienced when one is extremely tired or has been sleeping for a long time. The crossword solution for this term is 'drowses', which is a verb meaning to be in a state of half-sleep. Drowses is also used to describe a person who is in a state of semi-consciousness, usually due to fatigue or sleepiness.