Using Outlook for Android in business environments for email and scheduling
I had to create a new signature within my desktop app following the instructions given by Robert Quirk1 by going to File > Options > Mail > Create or modify signatures to messages.
Then create a new signature (I named mine Hi for simplicity sake).
Write Hi then hit return a couple of times and write however you want to end the message - make sure its in the font and size you desire.
Click save.
Under 'Choose default signature', select this newly created signature (Hi) for your new messages and replies/forwards.
Click OK.
Now go to the mobile app and go to Settings.
Select Email signature and check that it's selected to 'Use my signature from Outlook on the web'
Then close the app.
Reopen app. Now hopefully it should work. Create a new message, start writing after Hi.
After composing your message you can delete the extra lines before the Hi.
I'm using the Android app and this signature workaround only worked after I created the signature on the desktop app.