Here is how it works in my head: 1. You open a website and press a button 'Search'. 2. Then after a random twitter user was found, you can read his tweets, see the most impressive tweet in 24 hours so you could decide do you want to follow him or not. 3. Then you can press a button 'Follow' and his profile will be opened in a new tab or you can press 'Next' button to find another one.

Also, maybe there will be some filters so you could set min or max followers, tweets in a day, interests and etc.