The Double Click Tab plugin allows users to customize the behavior of double-clicking a tab title in Obsidian. Users can configure the action to close the tab, open the file in a new pane, or even rename the current file. The plugin offers advanced options such as opening a file in a new window or splitting the pane vertically or horizontally by holding specific keys while double-clicking. This plugin enhances workflow by providing users with more flexibility and control over how they interact with tabs in Obsidian.