Kitten teething? Or just likes to bite

One of my kittens has decided to naw on my finger alot. At first I thought it thought my pinkie was it's mothers nipple. Then it started to nibble my arm, my leg, my toes, anything it can get to and that will fit in its mouth. I've never seen it naw on anything but me.
Is this kitten doing this because it's teething? Or does it just like me? Today I noticed her brother start to nibble on my finger too.

How old is your kitty? It may be giving love bites! Some of my kitties do this too.

I think they are 4-5 weeks old...they've been so cute it's hard to keep up with the age These two are just so much more friendly than the other male and female. They both crawl to me when I go to them and they crawl up my leg when im sitting indian style and sleep on my legs. I'm gonna try to take some photos and post them...it's sssssoooo adorable Oh and they are still nibbling on me...I'm not sure still if it's teething or if I tast good. My adult cat Felix likes to nibble and lick my fingers...hmmm. lol. Silly kitties

I can remember when my cousin's cat had kittens, when I was a very young girl, there was this one kitten that we named MC for Mountain Climber. When he was very young, like a month or so, he would wander over to us and then climb upon one of our arms, climb up our arm onto our shoulders and latch onto our earlobes and nibble. He enjoyed doing that to fingers and toes as well the older he got. I always kinda assumed it was a combination of feeling comfort around us and suckling.

When I was a kid..around 13-15, mom brought me home a dark tan stripped stray kitten. I named it Tigre (tea-grey) and it liked following me around and one day started trying to climb my leg. I was wearing sweatpants and a t-shirt and decided to slid my fingers up my leg like a mouse crawling. Suddenly Tigre ran up my leg all the way to my shoulder and sat there. After that he started to do that alot. It was so cute untill he grew up...lol then it became painfull. It was still cute and funny to me though- scratches and all