My fourteenth week old son is constantly gumming on his hands. is he teething early?

Possibly,: He could be teething the lower incisors. Or, he may be just suckling if he doesn't use a pacifier. No real harm in this.

Possibly: Normally the first eruption of teeth occurs at six months but some happen later and some children are actually born with teeth. The constant gumming of his hands is a definite sign of teething.

One Possibility : He may be teething or just trying to find his thumb or finger. Try messaging his gums. See if you can feel a tooth ready to emerge. It will probably be in the front on the lower jaw. He may like it if you brush his gums with a soft bristle brush. If you can guide him to take a pacifier rather than a thumb or finger it will be better for his bite development. Ibuprofen usually works best for pain.