Hi Monique,
Welcome to the forum
Kittens do grow out of climbing up your legs but they should always hear the sound " NO " when she does it !
Have some toys near by and when you think she might climb you, spray her toys with Catnip spray. Cats just love it and this will draw her attention to her nice smelling toys rather than your legs
Praise her and play with her so to let her know you are pleased with her. She should soon learn right from wrong.
If she continues to do it as she gets older there is a citronella spray you can squirt her with. It's very similar to pepper spray.
http://www.petsmart.com/global/product_ ... 3866457024
She would soon learn fast and it isn't harmfull at all.