To "score points" means to gain praise, recognition, or approval for doing something well or achieving success in a particular situation. It can also refer to earning points in a game or competition. Full definition
The Volunteers didn't score a point for the final seven minutes and 14 seconds of the game. (sbnation.com)
Our lawyers measure success by how well we meet our client's objectives, not by scoring points in contract language or during negotiations. (thompsonhine.com)
The superintendents and school boards in these cities do not score points with teachers unions by working directly with charters. (educationnext.org)