Those experienced with Twitter know to never click on these links. Newbies, however, will usually fall for this scam. I see it several times a week, as the DMs appear in my Twitter stream. Soon after these rogue DMs pop up, friends will warn the Twitter newcomers to change their passwords.
Here’s a great tutorial on how to avoid phishing scams on Twitter as well as elsewhere on the Web. Scammers are likely to send messages that purport to be from PayPal or FedEx or even your bank. Always check the URL of the suspect link, and never share your passwords.
Happy, safe tweeting to you!