You can turn off all Twitter updates or just receive direct messages on your phone. Text On or Off to your Twitter short code (40404 for the U.S.), or text Off then Set Messages On to just receive DM notifications.
16 Best Apps for Students
Windows Phone 8.1 Update Adds Live Folders, Cooler Cortana
Virgin Mobile, Walmart Let Parents Set Phone Curfews
10 Surprising Things You Can Do with Twitter
10 Best Back-to-School Laptop Backpacks 2014