So while it probably won't be in the same exact incarnation as it was back in the early 2000's, MTV announced that it is rebooting TRL (Total Request Live) as "MTV Live", and it premieres June 12th. 

Many things are unknown at this time, but Refinery29 reports:

"That ability to be live, in culture — not responding to it but driving it — is where we belong," MTV President Chris McCarthy told AdWeek about the show's debut on June 12. It will once again be set in the Times Square studio (now two-times bigger than it used to be) and run between three and four hours. Other details, however, remain unknown."

Either way, VERY excited to see what the new show will be like!