The phrase "docking points" means deducting or taking away points from something or someone as a form of punishment or penalty.
Sentences with «docking points»
Eye pokes continue because the refs don't dock a point for every one that happens. (sbnation.com)
The most frequent call to replace grid drops for mechanical failures is to punish teams by docking them points in the Constructors» Championship instead. (wtf1.com)
But we're not docking points for Samsung's old - school design, which still has its fans. (tomsguide.com)