<!DOCTYPE html>
<html>

  <head>
    <script data-require="angular.js@1.4.3" data-semver="1.4.3" src="https://code.angularjs.org/1.4.3/angular.js"></script>
    <link rel="stylesheet" href="style.css" />
    <script src="script.js"></script>
    <title>Updating scopes</title>
  </head>

  <body ng-app="App">
    <h1>Scopes to Service</h1>
    <parent class="parent">
    </parent>
  </body>

</html>
angular.module('App', [])
  .service('Items', function ($interval) {
    var items = ['foo', 'bar'];
    
    $interval(function () {
      // overwrite the reference
      items = items.concat('item ' + (items.length + 1));
      console.log('items', items);
    }, 3000);
        
    return {
      all: function () { return items; }
    };
  })
  .directive('parent', function () {
    return {
      restrict: 'E',
      scope: {},
      template: '<h2>Parent directive</h2>' +
        '<ul>' +
          '<li ng-repeat="item in items.all()">{{ item }}</li>' +
        '</ul>' + 
        '<child class="child" list="items"></child>',
      controller: function ($scope, Items) {
        $scope.items = Items;
      }
    };
  })
  .directive('child', function () {
    return {
      restrict: 'E',
      scope: {
        list: '='
      },
      template: '<h2>Child directive</h2>' +
        '<ul>' +
          '<li ng-repeat="item in list.all()">{{ item }}</li>' +
        '</ul>'
    };
  });

.parent {
  border: red 1px solid;
  border-radius: 5px;
  padding: 10px;
  display: block;
}

.child {
  border: blue 1px solid;
  border-radius: 5px;
  padding: 10px;
  margin-bottom: 10px;
  display: block;
}

Steps

* initial parent controller with list
* list from the parent shown in the child controller
* move items to separate service
* broke connection between items in the scope and the service
* breaking connection after timeout by overwriting reference
* preserving the returned reference
* controllers to directives
* split the link between scopes using isolate scopes
* show that digest cycle keeps scope synched even with separate references