Our eldest has licked on occasion, but our youngest (2 1/2 months) is the licker. Usually, she does it after we have finished finger wrestling with her - or rather, when she's had enough she'll start grooming our hands as a way of submitting.
If she's not grooming you, it could be that she just likes the salt - same way as dogs do.
If she's not grooming you, it could be that she just likes the salt - same way as dogs do.