While I am aware of at least a couple of intranet and extranet projects in development that utilize the RadScheduler, I am still looking to find a live and public sample of this in action with Sitefinity.
In the meantime a great example of the RadScheduler being used for setting appointments can be seen in the Sitefinity SDK Intranet Starter Kit. There the full source code of a sample 'Meetings' Module available and it contains a widget that allows you to achieve exactly the scenario you have described.
Since the RadScheduler is a very feature rich ASP .NET control that allows binding to different data sources and supports a lot of advanced functionality, binding to Sitefintiy data is straightforward and all scenarios and sample listed in the RadScheduler demo page
are achievable with Sitefinity by using the API. This demo page is also probably the best resource you can find in terms of what can be achieved with the RadScheduler and how.
also provides a great discussion on some of the implementation specifics when binding to the Sitefinity data.
All the best,
the Telerik team
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