Keep the current position in the center of the timeline in Adobe Premiere
Hold the Shift-Key pressed and move your mouse wheel to scroll the timeline horizontally. This works when not playing as well as when playing but only if the timeline is not auto-scrolling.
If you want to keep the playhead centered, go to Edit-Menu -&gt; Preferences -&gt; Timeline and select &quot;Smooth Scroll&quot; where it says &quot;Timeline Playback Auto-Scrolling&quot;, see also the screenshot:
One more tip: the thin blue line marking the current position is called the playhead.