The following will work for you to recover lost data of iPhone stuck in recovery mode.
Solution 1 : Turn off your device , then turn back on and everything should be fine.
Solution 2 : Plug your device into a PC or a MAC then iTunes should detect your device is in recovery mode and release you from recovery mode.
ITUNES will automatically pick it up and a pop up box will probally say that your IPHONE is in recovery mode would you like to restore?
3. Click the restore tab.
Note - If ITUNES if out of date, this will not work.
Note - Do not do this over WIFI
Note - Do not interrupt the restore
Note - If you did not make a previous back up, your iPhone will restore back to the factory settings.
Solution 3 : RESTORE, your iPhone
Solution 4: Press and hold the power button for 5 secs , press and hold the home button and release the power button. Now press the power button and the home button for 10 secs.
Hope FonePaw iPhone Data Recovery helps!