What does the Bible say about gossip?

"Without wood a fire goes out; without gossip a quarrel dies down."Proverbs 26:20

A dishonest man spreads strife, and a whisperer separates close friends.  - Proverbs 26:2

"Whoever goes about slandering reveals secrets; therefore do not associate with a simple babbler." - Proverbs 20:19

You shall not spread a false report. You shall not join hands with a wicked man to be a malicious witness." - Exodus 23:1

 
There are six things that the Lord hates, seven that are an abomination to him: haughty eyes, a lying tongue, and hands that shed innocent blood, a heart that devises wicked plans, feet that make haste to run to evil, a false witness who breathes out lies, and one who sows discord among brothers.” - Proverbs 6:16-19

Whoever slanders his neighbor secretly I will destroy. Whoever has a haughty look and an arrogant heart I will not endure.” - Psalm 101:5

"Keep your tongue from evil and your lips from speaking deceit.” - Psalm 34:13

You shall not go around as a slanderer among your people, and you shall not stand up against the life of your neighbor: I am the Lord.”Leviticus 19:16

 
For every kind of beast and bird, of reptile and sea creature, can be tamed and has been tamed by mankind, but no human being can tame the tongue. It is a restless evil, full of deadly poison.” - James 3:7-8

Wash away what they think of you and press on.

If I’m just bad news, then you’re a liar.

"Great minds discuss ideas. Average minds discuss events. Small minds discuss people."

—  Eleanor Roosevelt.