I do not have this unit, so I have no experience with it, but I think that the switch that I know as a "clixon" is not for the fan. It sits very close to the TO-3 package, and that would seem a bit big for a fan.
More likely, it is a failsafe to cut out power if the heatsink gets too hot (e.g. if the fan has failed). Or does the fan only run when the heatsink gets hot?
In my mind it's more likely that the thermal sensor in the tip failed and that the station kept putting power into the heating element as a result. This resulted in overheating and cracking it. The loose wire on the clixon may not be related to your problem at all. A loose wire would be the same as a clixon going open when its specified temperature has been reached (it's how in e.g. a coffeemaker the temp of the hot plate is regulated).
But I may be totally wrong, here...