Share web pages, selected text, links and image URLs on Twitter easily from the context menu and toolbar button.
"Share on Twitter" (Earlier, "TweetRight") is a light-weight and privacy-friendly extension.
Doesn't require any permission from the users. Hence, it *does not* track user's browsing data or history. Read more on homepage: http://browsernative.com/share-on-twitter-chrome-extension/
You may also try "Share on Twitter Plus" : https://chrome.google.com/webstore/detail/share-on-twitter-plus/ibkkfjhfbooockennofdnldpecffddgg
Not affiliated with Twitter.