For those of you who want to root your Galaxy Note 3, backup/restore ROM, or install custom ROM, you will need either ClockworkMod(CWM) or TWRP recovery for your Note 3.
This is a list of current working ClockworkMod(CWM) and TWRP recoveries you can use:
(We will update this as more become available!)
If you have a rooted Note 3, you can easily install CWM or TWRP using Flashify app.
For AT&T or Verizon Note 3, you cannot install CWM or TWRP recovery as bootloader is locked. BUT you can install SafeStrap Recovery here!
ClockworkMod (CWM) Recovery
KitKat/Lollipop Android 4.4.2 CWM Recovery (Please do not use with Jelly Bean Android 4.3 TouchWiz!)