Twitter API via WordPress using https://github.com/J7mbo/twitter-api-php/blob/master/TwitterAPIExchange.php

gistfile1.php

$last_update = get_option('twitter_feed_last_update', 0);
if(time() - $last_update > 86400){
    require_once('TwitterAPIExchange.php');
    $settings = array(
        'oauth_access_token' => "PASTE_VALUE_HERE",
        'oauth_access_token_secret' => "PASTE_VALUE_HERE",
        'consumer_key' => "PASTE_VALUE_HERE",
        'consumer_secret' => "PASTE_VALUE_HERE"
    );
    $fields = array(
        'screen_name' => "PASTE_VALUE_HERE",
        'count' => 5
    );
    $twitter = new TwitterAPIExchange($settings);
    $twitter_feed = $twitter->setGetfield('?'.http_build_query($fields))
                 ->buildOauth('https://api.twitter.com/1.1/statuses/user_timeline.json', 'GET')
                 ->performRequest();
    update_option('twitter_feed', $twitter_feed);
    update_option('twitter_feed_last_update', time());
}