You mean a CL with a broken meter, and the film handling, rangefinder and shutter still works? A couple hundred dollars max, because it can still take good photos.
If you mean a broken CL, where the shutter doesn't work, or the film advance is broken (i.e. it doesn't even take pictures), well, fifty bucks for parts. Maybe not even. I've never seen much demand for CL parts cameras, not like M's.
IMHO.
Check ebay to confirm.