The main classes for working with the RadTimePicker controls are:
RadTimePicker is the main class for the time picker control. It provides several properties, methods, and events for customizing the control located at Telerik.Web.UI.RadTimePicker.
RadDateInput is the class for the input area of RadTimePicker. It handles the formatting and parsing of date and time strings, and has a number of its own properties, methods and events. RadDateInput is one of the standard RadInput controls and its server API is here Telerik.Web.UI.RadDateInput.
TimePopupButton is the class for the popup button that displays the time view on RadTimePicker. It is exposed by the TimePopupButton property. You can see its properties, methods and events at Telerik.Web.UI.TimePopupButton.
RadTimeView is the class for the popup time view used by RadTimePicker. Its server API is listed at Telerik.Web.UI.RadTimeView.