Proverbs 26:20 states
Without wood, fire goes out; without gossip, conflict dies down.
In life you have to decide is it really worth it. If you continually add more fuel to the fire, the flame will only get bigger. If gossip comes your way and you carry it on or add to it, the stories will only grow. Sometimes it's better to just leave it all alone. Let it die down. Or even better ensure you have no part in it.
This is also true concerning having the last word. It's okay to be right. You do not have to hammer home your point. Just be satisfied enough to walk away from any disagreement that is not bearing any fruit.