A clickable touch screen (CTS) offers an additional finger pressing state that allows users to feel a distinct click when they press the screen. CTS phones that exist in the market use this additional state only for a few safety features such as adding a preview step before committing to an action. A more systematic investigation of the possible interaction techniques using a CTS is needed to achieve a fuller utilization of this additional state. Accordingly, we conducted a brainstorming session to investigate the unexplored design space of CTS operations, and identified a set of CTS operations that make good use of this additional state. We then characterized the CTS operations using two kinds of notations that we developed to visualize both their temporal and spatial aspects, and named them based on their characteristics. Finally, we examined the feasibility of the CTS operations by implementing usage scenarios on a CTS phone and conducting user experiments.