Idea of Rename Icon
A horizontal rectangle is intersected between the right side and center, vertically by two tall lines formed together. At the end of each line both below and above the rectangle they curve in opposite directions of one another.
This page contains the Rename vector icon, as well as variations of this icon in different visual styles, and related icons. All icons are in the flat vector style, however, differ by the line thickness, fill, and corner radius.