Justin Sternberg

In the spirit of WordPress and “owning your data,” this plugin will allow you to import and backup your tweets to your WordPress site. Includes robust options to allow you to control the imported posts formatting including built-in support for WordPress custom post-types, custom taxonomies, post-formats. Add an unlimited number of user accounts for backup and importing.
Plugin is built with developers in mind and has many filters to manipulate the imported posts.
1.1.0: Updated to work with the Twitter 1.1 API. Uses the <a href="https://github.com/jtsternberg/TwitterWP" rel="nofollow ugc">TwitterWP</a> library.
Like this plugin? Checkout the <a href="http://j.ustin.co/QbG3mQ" rel="nofollow ugc">DsgnWrks Instagram Importer</a>. Feel free to <a href="http://j.ustin.co/QbQQ0a" rel="nofollow ugc">fork this plugin on github</a>.

DsgnWrks Twitter Importer

Backup your tweets & display your twitter archive. Supports importing to custom post-types & adding custom taxonomies.

oniswap

Important notice: Twitter shut down their v1 API and use now the v1.1, to update your mini twitter feed you need to go on https://twitter.com/settings/widgets/new create a new widget and get your Twitter widget ID. You can update the id on the shortcode or widget. ([minitwitter id=”TWITTER_WIDGET_ID” username=”YOUR_USERNAME”] or in the field “id” in the widget section). 
You get this Twitter Widget ID from the code provided by Twitter when you create this widget: data-widget-id=”TWITTER_WIDGET_ID” or in the URL https://twitter.com/settings/widgets/TWITTER_WIDGET_ID/edit.
The plugin “mini Twitter feed” or twitter timeline puts Twitter on your WordPress blog, you can add your tweets or the tweets from the folks you like, lists, queries…
You can display up to 100 tweets within 7 days (limit set by Twitter’s Search API).
It displays tweets from your feed or from the Twitter Search, from a list or from your favorite users. It is very flexible and modular.

Mini twitter feed

Embed your twitter feed or the twitter timeline from your favorite users on your Wordpress blog. Shortcodes and widgets are used.

DsgnWrks Twitter Importer vs Mini twitter feed