Q. What happens to installed Modules if the owner gets kicked out of a Clan or leaves a Clan?
When someone leaves the clan with modules still installed, those modules are automatically removed from the CBS and put back into the leaving player's inventory. The station doesn't explode because of this. No other modules are affected. If the Hull Module gets removed, the station will still be standing there, but with only 1 hitpoint..
Here is a link to the Clan Battle station FAQ. This should assist you with any questions about the Battle Station
Does the OP have any further questions on this topic?
Have a nice day!