From Wikipedia Chronophobia page:
"Chronophobia is described by Pamela Lee as the fear of time. There are three categories of phobia including agoraphobia, social phobia, and specific phobias which includes spiders, snakes, dogs, water, and heights. Rosemary Stolz states that chronophobia falls under the category of specific phobia because time is a specific object that one can fear. Somewhere between 5.1% and 12.5% of Americans have experienced some sort of phobia. Chronophobia is especially common in prison inmates and the elderly, but it can manifest in any person who has an extreme amounts of stress and anxiety in their life."