4-month old keeps putting his hands to mouth. OK? Not OK?

My 4-month old is currently exploring the world of drooling and putting everything to his mouth but really loooooves to put his hands (not just thumb alone) to his mouth. He could do it for hours if I didn't stop him. He has a pacifier but has recently learned to grasp and remove the pacifier from mouth and then continue on sucking on his hands. Giving him teething toys also, keeps him occupied for a few minutes (max) and then it's hands again :)It seems to me that the saliva is irritating his hands therefore I try to remove his hands from his mouth as much as I am capable and trying to distract him with other toys or activities.If anyone's baby has done the same thing, have stopped him/her or just let him/her have at it? via /r/Parenting http://ift.tt/2hDMdS7