Clicking and dragging across the timeline after running a search can have the effect of narrowing down or expanding the time range of the search results. By clicking and dragging the cursor across the timeline, the user can select a specific time frame, and the search results will be filtered to only show data within that range. This can help to focus the search results and make it easier to find relevant information. Additionally, some search tools may also allow the user to zoom in or out on the timeline, which can further refine the time range of the search results.