LCK is shipped with 2 standart animation set, basic and strong. But it's possible to add its own animations. They can be home made or bought. Here is a list of animation sources.
Available on Ossus Market. Almost all the standart Ligthsaber positions, 500L$ each
Made by Ashley Alexander
Second Frame Edit
Avaliable on SLExchange for 800L$. It's a two hand animation for males avatars.
Fusion Lightsabers have their own set of animations.
F/LCK is shiped with 2 extra saber animation sets. Available at Taris
Doesn't make lightsaber animation directly but has regular sabers animations which can be bough individualy.