You can download the update directly on your device through the Apple App Store or by using the link which follows:
Twitter for iOS version 5.8 has the following new features and improvements:
- When you read a Direct message it will be marked as read in all of your official Twitter apps, including twitter.com, mobile.twitter.com, Twitter for Mac, Twitter for Android and TweetDeck. When you read a message on another official Twitter app, it will be marked as read on iPhone and iPad.
- It’s easier to join conversations with a new reply composer in the Tweet details view on iPhone
- Find new accounts to follow by tapping the new people button in the navigation bar
- Richer search results indicate when there are new Tweets for your query and show account results with bios and social context
- Report unwanted Tweets via the “More” button
You can also download the latest version of Twitter for Android which brings the same improvements.