Chrome Requires -webkit- before the “grab” name;
Here’s an example of a style that works with both Chrome and Mozilla, and includes the change in cursor for when you are “holding” something.
#eA { cursor: -webkit-grab; cursor:-moz-grab; }
#eA:active { cursor: -webkit-grabbing; cursor:-moz-grabbing;}
Reference: https://developer.mozilla.org/en-US/docs/Web/CSS/cursor