This is a new root method.
This is a linux / OSX version only for now.
When you untar the file. Please make sure to edit the runme.sh it has a path for adb that you need to fix. Other then that it will work.
You just chmod 755 runme.sh and run it
Mod Edit: removed link
EDIT: This has been confirmed working on the TF201 and TF101 so its a Universal root for all transformers
EDIT: Adding a step by step guide here.
A) Install an app from market any app. (I choose rootchecker)
B) Open the app-draw and select the asus backup utility and backup rootchecker
C) follow the scripts instructions
D) When it asks you to do another backup. Go into the backup utility from the TF101/TF201 (from the app-draw) go to back and RE-BACKUP the SAME app (Rootchecker in my case)
E) The system will reboot and you will have root. Do this all while the script is running. It will pause and ask you do the above items.