JSFiddle - React, Tailwind, and code Playground

HTML

<div id="searchWrapper" class="fleft">
    <div class="box">Hover here!</div>
    <div class="searchLinks" style="display: none;">
        <form id="search_mini_form" action="http://staging.dailyhaute.com/index.php/catalogsearch/result/" method="get">
            <div class="form-search">
                <label for="search">Search:</label>
                <input id="search" type="text" name="q" value="" class="input-text" maxlength="128" autocomplete="off">
                <button type="submit" title="Search" class="button"><span><span>Search</span></span>
                </button>
                <div id="search_autocomplete" class="search-autocomplete" style="display: none;"></div>
                <script type="text/javascript">
                    //<![CDATA[
                    var searchForm = new Varien.searchForm('search_mini_form', 'search', '');
                    searchForm.initAutocomplete('http://staging.dailyhaute.com/index.php/catalogsearch/ajax/suggest/', 'search_autocomplete');
                    //]]>
                </script>
            </div>
        </form>
    </div>
</div>

CSS

#searchWrapper {
        position:relative;
    }
    #searchWrapper .searchLinks {
        position: absolute;
        z-index: 99999;
        top: 70px;
        background: #e7e7e7;
        left: 0;
        display:none;
        padding:10px;
    }
    #searchWrapper .box {
        border:solid 1px #555;
        padding: 20px 0px;
        text-align:center;
    }

JavaScript

jQuery(function ($) {
    $("#searchWrapper").hover(
    function () {
        $(".searchLinks").stop().fadeToggle(500);
    });
});