* Lightsabers are incredibly hot: They generate temperatures hotter than the surface of the sun, easily capable of melting, vaporizing, and even disintegrating most materials.
* Claws are made of various materials: Animal claws are typically made of keratin (like human fingernails), bone, or a combination. Some fictional creatures might have claws made of exotic materials.
Considering these factors:
* Keratin claws: Lightsabers would easily melt and vaporize keratin claws.
* Bone claws: Bone is less resistant to heat than metal, so lightsaber blades could likely cut through them.
* Exotic materials: The outcome would depend on the specific material. If the claws were made of a substance incredibly resistant to heat, they might survive a lightsaber strike, at least partially.
Conclusion:
While it's difficult to be definitive, based on the properties of lightsabers and the materials that typically make up claws, it's likely that a lightsaber could cut through most types of claws. However, against claws made of extremely heat-resistant materials, the outcome is less certain.