Gossips are one of the currencies/resources you can gather in the game. They can be obtained by completing some of the tasks from the Journal, as a reward from Quests, or, most often, gathered by your workers: Scoundrels, Servants, Thugs, and the innkeeper.
To use the gossip currency just press the appropriate button once it appears in a window they are related to.
When sending someone on a Quest, the player may pay Economic Gossips to learn about the possible reward.
The blue Political Gossips allow you to increase yourinfluence in cities.
The red Traveller's Gossips allow you to learn more details about the threats and dangers of available Quests.