Leica CL has a Leica L lens mount and currently there are 41 native lenses available for this mount.
Leica CL doesn't have a sensor based image stabilization system but 7 of these lenses already comes with optical image stabilization.
Since Leica CL has a APS-C sensor, it has a focal length multiplier of 1.5x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on CL.
You may also also be interested in these:
Leica CL Lenses with Image Stabilization
Leica CL Lenses with Weather Sealings