Turning off the Siri App Suggestions in the Settings app is not sufficient to get rid of that pesky clock badge. It takes two different steps to do this, for a similar reason that the Control Panel screen (swipe up) does not really turn off wifi, but that’s a story for another day.
HOW TO GET RID OF THAT ALARM CLOCK BADGE IN THE DOCK
1. THE SEARCH PAGE
a) Press and release HOME button, once.
b) Swipe right, to get to Search screen on the far left.
c) Scroll up, to get to bottom of ‘widgets’ page.
d) Tap “Edit“ button
e) Tap the red “-“ symbol next to ”Siri App Suggestions”.
notes: do so for any other apps you don’t wan‘t to show on the Search page; you can tap the green “+” symbol to put them back, if you wish.
2. THE SETTINGS APP
a) Press and release HOME button, once.
b) Select the “Settings” app.
c) Tap “General” menu item.
d) Tap “Multitasking and Dock” menu item.
e) Turn OFF the “Show Suggested and Recent Apps” setting.
Gratitude for the following discussions:
Simon@Home
https://discussions.apple.com/thread/8087680?answerId=32915914022#32915914022
Daisylaa
https://discussions.apple.com/thread/8087680?answerId=32798369022#32798369022
Bwanji & Volumetrix
https://discussions.apple.com/thread/8087680?answerId=32408226022#32408226022