JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="//netdna.bootstrapcdn.com/bootstrap/3.1.1/css/bootstrap.min.css">
<script src="//netdna.bootstrapcdn.com/bootstrap/3.1.1/js/bootstrap.min.js"></script>
<div class="navbar navbar-default navbar-fixed-top" role="navigation">
    <div class="container">
        <div>
            <ul class="nav navbar-nav">
                <li class="dropdown"> <a href="#" class="dropdown-toggle" data-toggle="dropdown">Settings<span class="caret"></span></a>

                    <ul class="dropdown-menu" role="menu">
                        <li><a href="#">Edit</a>
                        </li>
                        <li><a href="#">Delete</a>
                        </li>
                        <li class="dropdown"> <a href="#" class="dropdown-toggle" data-toggle="dropdown">Visible by friends<span class="caret"></span></a>

                            <ul class="dropdown-menu" role="menu">
                                <li><a href="#">Visible by friends</a>
                                </li>
                                <li><a href="#">Visible by me only</a>
                                </li>
                                <li><a href="#">Visible by anyone</a>
                                </li>
                            </ul>
                        </li>
                    </ul>
                </li>
            </ul>
        </div>
    </div>
</div>

CSS

.dropdown-submenu {
    position:relative;
}
.dropdown-submenu>.dropdown-menu {
    top:0;
    left:100%;
    margin-top:-6px;
    margin-left:-1px;
    -webkit-border-radius:0 6px 6px 6px;
    -moz-border-radius:0 6px 6px 6px;
    border-radius:0 6px 6px 6px;
}
.dropdown-submenu:hover>.dropdown-menu {
    display:block;
}
.dropdown-submenu>a:after {
    display:block;
    content:" ";
    float:right;
    width:0;
    height:0;
    border-color:transparent;
    border-style:solid;
    border-width:5px 0 5px 5px;
    border-left-color:#cccccc;
    margin-top:5px;
    margin-right:-10px;
}
.dropdown-submenu:hover>a:after {
    border-left-color:#ffffff;
}
.dropdown-submenu.pull-left {
    float:none;
}
.dropdown-submenu.pull-left>.dropdown-menu {
    left:-100%;
    margin-left:10px;
    -webkit-border-radius:6px 0 6px 6px;
    -moz-border-radius:6px 0 6px 6px;
    border-radius:6px 0 6px 6px;
}

JavaScript

$('ul.dropdown-menu [data-toggle=dropdown]').on('click', function(event) {
        // Avoid following the href location when clicking
        event.preventDefault(); 
        // Avoid having the menu to close when clicking
        event.stopPropagation(); 
        // If a menu is already open we close it
        $('ul.dropdown-menu [data-toggle=dropdown]').parent().removeClass('open');
        // opening the one you clicked on
        $(this).parent().addClass('open');
    });