A couple of months ago, we posted an updated version of a Hello World Flex example. We have created the same example, but using the Cairngorm framework. It still uses Remoting and ColdFusion. It is simple, but I think that by being so simple, it is easier to follow than a full-fledge application. It shows most of the pieces that make up a Cairngorm application, such as the ModelLocator to store the data and the state of the application, the controller, the command, the services and the delegate.
Disclaimer: We do not usually use Cairngorm, so this is only our interpretation of how a Cairngorm app would look like (we use Mate for our Flex development).