Leica TL2 has a Leica TL lens mount and currently there are 65 native lenses available for this mount.
The latest released lenses that are compatible with the are the Sigma 23mm F1.4 DC DN C, the Sigma 17mm F4 DG DN C and the Sigma 50mm F2 DG DN C.
Leica TL2 doesn't have a sensor based image stabilization system but
10 of these lenses already comes with optical image stabilization.
Since Leica TL2 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 .
You may also also be interested in these:
Leica TL2 Lenses with Image Stabilization
Leica TL2 Lenses with Weather Sealings