Clockhead Ladies roam around headquarters with the help of Odd Squad agents. They can either be really nice or really annoying, and sometimes change their mood without warning. A good way to get them to be your friend is to tell them what time it is.
Another method of befriending a Clockhead Lady is through dance. They are fond of dancing, and are likely to join you if you ask them to dance with you. This method of befriending a Clockhead Lady was demonstrated by Oscar in one of his training videos.