NewTweetClicker.user.js

// ==UserScript==
// @name         NewTweetClicker
// @version      0.1
// @description  Clicks the new tweet bar automatically
// @author       Michael Usher
// @match        https://www.twitter.com/*
// @match        https://twitter.com/*
// @grant        none
// ==/UserScript==
/* jshint -W097 */
'use strict';

var $ = window.jQuery;
var MutationObserver = window.MutationObserver || window.WebKitMutationObserver;

$(document).ready(function(){
    var obs = new MutationObserver (clickNewTweetHandler);
    var obsConfig = { childList: true, characterData: true, attributes: true, subtree: true };
    var obsRoot = $('.stream-container');

    obsRoot.each(function() { obs.observe(this, obsConfig); });
    function clickNewTweetHandler(m) {
        if ($('.new-tweets-bar').length > 0) { $('.new-tweets-bar').click() ; }
    }
});