Edit in JSFiddle

(function(module) {
    'use strict';
    module.controller("outClickCtrl", function($scope, $log) {
        // Dropdown ---------------------------------------------------
        $scope.showText = true;
        $scope.options = [
                { value: 'Option 1' },
                { value: 'Option 2' },
                { value: 'Option 3' }
            ];
        $scope.currentOption = $scope.options[0];
        
        $scope.toggleEdit = function() {
            $scope.showText = !$scope.showText;
        };
        
        $scope.selectOption = function(option) {
            $scope.currentOption = option;
        };
        
        // Example text on div element
        $scope.textExample1 = 'DEFAULT TEXT EXAMPLE 1';
        $scope.textExample2 = 'DEFAULT TEXT EXAMPLE 2';
        $scope.clickOnExample1 = function() {
            $scope.textExample1 = 'CLICK ON EXAMPLE 1';
        }
        
        $scope.outClickChangeExampleText1Callback = function() {
            $scope.textExample1 = 'OUTSIDE CLICK ON EXAMPLE 1';
        }
        
        $scope.changeExampleText1Init = function() {
            $scope.textExample1 = 'OVERRIDE BY INIT ON EXAMPLE 1';
        }
        
        // Example 2
        $scope.clickOnExample2 = function() {
            $scope.textExample2 = 'CLICK ON EXAMPLE 2';
        }
        
        $scope.outClickChangeExampleText2Callback = function() {
            $scope.textExample2 = 'OUTSIDE CLICK ON EXAMPLE 2';
        }

        // Dropdown events
      $scope.status = {
        isopen: false
      };

      $scope.toggled = function(open) {
        $log.log('Dropdown is now: ', open);
      };

      $scope.toggleDropdown = function($event) {
        $event.preventDefault();
        $event.stopPropagation();
        $scope.status.isopen = !$scope.status.isopen;
      };
    });
    module.directive("outClick", function() {
        return {
            restrict: 'AE',
            scope: {
                outClickCallback: '&', // pass callback to excecute when click outside element
                outClickInit: '&', // pass method to excecute when init the directive
                outClickInitCount: '=' // pass to init count +1 for elements like dropdown (simulate one click)
            }, 
            link: function(scope, element) {
                var inside = false;
                var count = -1;

                if (scope.outClickInitCount) {
                    count++;
                }
                if (scope.outClickInit) {
                    scope.outClickInit();
                }

                document.addEventListener('click', function() {
                    count = count > -1 ? count + 1 : count;

                    if (!inside && count > 1) {
                        count = -1;
                        scope.outClickCallback();
                        scope.$apply();
                    }
                    inside = false;
                });

                element[0].addEventListener('click', function() {
                    inside = true;
                    count = 0;
                });
            }
        };
    });
}(angular.module('outClick', ['ui.bootstrap'])));

<div ng-app="outClick" ng-controller="outClickCtrl">
    <h3>Example with element DIV and content text</h3>
    <h4>with init method</h4>
    <div out-click out-click-callback="outClickChangeExampleText1Callback()" out-click-init="changeExampleText1Init()" ng-click="clickOnExample1()">Click on me for change the next text: "{{ textExample1 }}"</div>
    
    <h4>without init method</h4>
    <div out-click out-click-callback="outClickChangeExampleText2Callback()" ng-click="clickOnExample2()">Click on me for change the next text: "{{ textExample2 }}"</div>
    
    <hr>
    <h3>Example with Dropdown</h3>
    <div ng-if="showText" ng-click="toggleEdit()">Click to edit with dropdown. Current option selected: <strong>"{{ currentOption.value }}"</strong></div>
    <div ng-if="!showText" class="btn-group" dropdown is-open="status.isopen">
      <button type="button" class="btn btn-primary dropdown-toggle" dropdown-toggle ng-disabled="disabled"
        out-click out-click-callback="toggleEdit()" out-click-init-count="true">
        Button dropdown <span class="caret"></span>
      </button>
      <ul class="dropdown-menu" role="menu">
        <li ng-click="selectOption(option)" ng-repeat="option in options"> {{option.value}} </li>
      </ul>
    </div>
</div>