semi-somnia
n.β Β«British experts have coined the phrase “semi-somnia” to describe people who take more than half an hour to fall asleep, who wake frequently in the night or who wake too early in the morning.Β» ββNation of 30 winks” by Susie OβBrien Herald Sun (Melbourne, Australia) Oct. 31, 2007. (source: Double-Tongued Dictionary)