Not that this should happen and while it has prevented you from riding it sounds like a very minor repair.
If it is leaking from the handlebar area it is likely a loose reservoir cap, hose fitting and/or seal and gravity is helping the escaping fluid find it's way down to the cooler.
The clutch is not damaged by the sound of your description, but with air in the system/lack of fluid when you pulled the lever the air was compressed whereas the fluid can't be so you have an end result in this case of no disengaging of the clutch due to the lack of hydraulic pressure and she jumped forward on you.
By the way, BMW uses "mineral oil" for the clutch fluid as opposed to "brake fluid" like some other systems/OEMs use. An inconvenience is one has to have the proper brake and mineral oils if they service/bleed their brake and clutch fluids, but in your case the real benefit is mineral oil is easily cleaned up without the worries of paint damage like brake fluid can cause if left on painted surfaces for even a relatively short peiod of time.
Anyway, Good luck, it should be easily and quickly sorted and please let us know what the final verdict was.