There are a few in Proverbs that mention gossip. But the following is the closest I know of. Here, Jesus is telling Peter pretty much to mind his own business in relationship to what another does in following Jesus.
Hmmm! you've posted amost interesting questionI was just wondering, because just about everything is in the Bible. So is it a sin to "snoop" I guess I'm saying, through someone else's private journals, or email, or what have you.
I know the Bible won't say, "Thou Shalt Not Read Someone's Email" lol, but I'm just wondering what God says about that kind of privacy.