doubleClick.js

React.createClass({
  // ...
  
  onClicked() {
    // Array of debounced click events
    this.debouncedClickEvents = this.debouncedClickEvents || [];

    // Each click we store a debounce (a future execution scheduled in 250 milliseconds)
    const callback = _.debounce(_ => {
      // YOUR ON CLICKED CODE

      this.debouncedClickEvents = [];
    }, 500);
    this.debouncedClickEvents.push(callback);

    // We call the callback, which has been debounced (delayed)
    callback();
  },
  onDoubleClicked() {
    // If there were click events registered we cancel them
    if (this.debouncedClickEvents.length > 0) {
      _.map(this.debouncedClickEvents, (debounce) => debounce.cancel());
      this.debouncedClickEvents = [];
    }
    
    // YOUR DOUBLE CLICK CODE
  },
  
  // ...
  
  render() {
    const table = this.props.table;
    let tableStyle = this.getStyles();

    return (
      <li onClick={this.onClicked} onDoubleClick={this.onDoubleClicked}>
        Click me
      </li>
    );
  }
});