This tutorial uses CWM recovery released by XDA-Developers member, blearreaz0n. The CWM recovery allows Galaxy Pocket Neo users to root their devices without any difficulty.
Disclaimer: Rooting voids the warranty of your device. We and the developer of this rooting procedures shall not be held responsible if any undesirable outcomes may happen to your device. use of this root guide is solely at your own risk!
Pre-Requisites
1. Install USB Drivers for Samsung Galaxy Pocket Neo on your computer.
2. Enable USB Debugging Mode on the phone by navigating to Settings >> Developer Options.
3. Make a backup of all your important data before following the guide.
4. The Galaxy Pocket Neo should be factory unlocked and not locked to any particular carrier.
5. Ensure the battery of the phone is charged more than 80 percent.
6. The CWM recovery works only on the Galaxy Pocket Neo (GT-S5310). Applying this on any incorrect variant might brick the device. Verify the model number of the Galaxy Pocket Neo by selecting Settings >> About Phone.
Files Required
1. CWM (Mirror Link)
2. Superuser (Mirror Link)
3. Odin 3.07
Steps to Install CWM Recovery on Galaxy Pocket Neo S5310
Step 1: Extract the Odin 3.07 .zip file using WinRAR/7-Zip/WinZip or any other extracting tool.
Step 2: Copy the Superuser .zip file to the SD card of your phone.
Step 3: Switch off the Galaxy Pocket Neo. Then boot the device into Download Mode by pressing and holding Volume Down, Home and Power buttons together until a construction Android robot icon with a warning triangle appears on screen. Now press the Volume Up button to enter Download Mode.
Step 4: Run Odin on the computer as an Administrator.
Step 5: Connect the Galaxy Pocket Neo to the computer using USB cable while it is in the Download Mode. Wait until Odin detects the device. When the device is connected successfully, the ID: COM box will turn to light blue with the COM port number. Additionally, the successful connected will be indicated by a message saying Added.
Note: If the Added message does not appear, then try re-install USB drivers or changing the port on the computer.
Step 6: In Odin, click the PDA button and select the CWM recovery .tar.md5 file. Verify that Re-Partition option is NOT selected.
Step 7: Double-check and click Start button in Odin. The installation process will now begin.
Step 8: Once the installation process completes, your phone will restart and soon you will see a PASS message with green background in the left-most box at the very top of the Odin. You can now unplug the USB cable to disconnect it from the computer.
Steps to Root Galaxy Pocket Neo S5310 via CWM Recovery
Step 9: Reboot the device into CWM recovery by pressing and holding Volume Up, Home and Power buttons together.
Step 10: In CWM recovery, select "install zip from sdcard" and then select "choose zip from sdcard". Now, navigate to the Superuser .zip file that you copied earlier and confirm the installation by selecting Yes.
Step 11: Once the installation process completes, return to main recovery menu and select "reboot system now".
Samsung Galaxy Pocket Neo S5310 running on Android 4.1.2 Jelly Bean is now rooted successfully. You can now install any app that requires root permission. Verify the root status of the device by downloading Root Checker app from Google Play Store.
Thank's to all fellas at XDA who first tried out this rooting technique. This root method was originally posted via XDA-Developers original thread.
Click here to know How to Update Galaxy Pocket Neo S5310 with Android 4.1.2 XXAML1 Jelly Bean official firmware. 
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