The Select command positions or repositions curved labels based on the label's anchor position (on the MAP tab, in the Selection group, click Select from the list). Remember that the curvature of the polyline determines whether you can create a curved label successfully. Polylines with sharp angles would not produce good curved labels so we do not allow them.
To reposition a curved label, click on the polyline to select a new anchor position. When you do, the curved label position is set according to the vertical and horizontal aspects of the anchor position. For example, if you set the label's anchor position to Center Left, the curved label you place is centered vertically on the polyline and to the left of the mouse click. When you edit labels this way, they are saved with the workspace.