You are working in Civil 3D. You grip a point, drag the label, get a leader, it all looks good until you drag the label to the left side of the point. In this post we will follow the steps necessary to edit the point label style to get the leader to look right on both sides of the point marker.
The drawing template, _AutoCAD Civil 3D (Imperial) NCS Extended.dwt found in Civil 3D 2009 (a long time ago) has a point label style called Point#-Elevation-Description. All point label styles have a Dragged State, meaning you grip and drag the label away from its home position. The Dragged State has settings that control how the label is displayed when not in its home position.
The details of this solution are in a pdf file I created to better illustrate the steps. Click HERE to view the pdf file. There is a Copy button for Components
To illustrate the Leader stops at marker setting.