So if your link is as long as a giraffes neck, coupled with the rest of the tweet, you will definitely find yourself truncating the text and even break the whole thing. Unfortunately, reports would be misleading if one or more outbound sites didn’t use Analytics. If it's not available, you'll need to locate a registrar who handles the domain extension in question. The key to protecting your SEO, then, is to choose a link shortening service that uses a 301 redirect.
Edit short URLs or QR codes to fix broken pages any time I need it. A circumvention could be that a website provided its own shortlinks instead of relying on a third-party shortening service – but this is not common. See if you are using Classic Analytics (ga.js) or Universal Analytics (analytics.js).