Got hair bleach on my finger when dying my hair.. HELP!?

I was bleaching my hair and I got some bleach on my pointer and thumb fingers. I scrubbed my hands very well but they were still white from the bleach. About a half hour ago, I found my self sucking/biting on those fingers and the white was almost all gone. Is this bad? Am I going to get sick? What's going to happen to me?