Carbon/Carbon clutches are very durable but not indestructible!
The Carbon/Carbon material itself may not be harmed by the heat which can be generated by excessive slipping of the clutch, but the aluminium alloy components, which are completely satisfactory under normal conditions, can soften and fail if overheated.

For particularly arduous applications special versions can be supplied using alternative materials for hubs and main pressure plates, but this will result in a slight increase in the weight of the unit.
Even the most resilient materials can suffer if subjected to excessive temperature.
Diaphragm springs can start to loose their load, reducing clamping pressure and allowing an increase in wear which in turn can lead to the clutch slipping.

Visual checks of a clutch can show if excessive temperature has been generated.