the second type of lip licking is c

the second type of lip licking is caused by nervousness, so it's a self-comforting signal. We want to touch (pull the lip) or lick it to release some inner tension by stimulating the nerves in our lips.

This sort of licking would be quick and partial. We automatically understand that licking the lips or pulling them would give away our insecurities, so we try to contain it. But if the tension is high enough we accidently leak it out - literally by sticking out the tongue.

Like all tension signals, it's often associated with telling a lie, but it's not always the case. It means that whatever the person is saying - he's not quite sure about it, or he's uncomfortable in his situation. To be more accurate, you need to watch carefully if the lick appears especially in regards to specific issue or detail.