I have one, you have one. If you remove the first letter, a bit remains. If you remove the second, bit still remains. After much trying, you might be able to remove the third one also, but it remains. It dies hard!
I am partially baked.
I am not completely lit.
I am a portion of the moon.
I am lesser than full wit.
I am a divider of the hour.
I am not a total lie.
I am a sibling through one parent.