They take exceptionally well to peer-correction and by working together they overcome their fear of speaking. I have also found quieter students able to offer corrections to their peers and gladly contribute to the recording stage of the lesson. It's a teaching method which encompasses all four skills while simultaneously revealing learners' styles which are more or less analytical in their approach to language learning. All of which raises our awareness as a teacher and that of our students.
Once you have tried CLL with your class, it's a good idea to evaluate the method. Here are some possible questions you could ask.