After opening Storage select Clear Storage.Tap on this, scroll down, and find Storage & cache.In Settings, scroll down to the Apps or Application Manager, and scroll down until you see Messenger.Close the app if you have it open, and get rid of it from your recent apps list, otherwise, this trick won’t work.To log out of Facebook Messenger, you need to go into the Settings of your Android device. Clear Messenger app data in Settings (For Android users only) Let us now take a look at each of these steps. The first procedure works on Android phones while the second option can be used by iPhone/iOS users. There are two methods of logging out of Facebook Messenger on Android: clear Facebook Messenger app data from within your device Settings, or log out of the Messenger session from the Facebook app. How to log out of Messenger on Android and iOS How to log out of the Messenger app from the Facebook website.How to log out of Facebook Messenger on iOS.