Leica TL has a Leica TL lens mount and currently there are 72 native lenses available for this mount.
The latest released lenses that are compatible with the TL are the Panasonic S 100mm F2.8 Macro, the Sigma 70-200mm f2.8 Sports and the Leica SL 14-24mm F2.8 ASPH.
Leica TL doesn't have a sensor based image stabilization system but 11 of these lenses already comes with optical image stabilization.
Since Leica TL 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 TL.
You may also also be interested in these:
Leica TL Lenses with Image Stabilization
Leica TL Lenses with Weather Sealings