How to get rid of icon with alarm clock on dock?

Hi there, 26bosman!
Thanks for reaching out to the Apple Support Communities! That is a great question you have about turning off the recently used apps on your iPad and I am happy to help! Check out this article with information about how to Use Multitasking on your iPad. Specifically:

Turn Multitasking features on or off

To turn Multitasking features on or off, go to Settings > General > Multitasking & Dock, then you can do the following:

• Allow Multiple Apps: Turn off if you don't want to use Slide Over or Split View.
• Persistent Video Overlay: Turn off if you don't want to use Picture in Picture.
• Gestures: Turn off if you don't want to use Multitasking gestures to see the app switcher, return to the Home screen, and more.
• Show Suggested and Recent Apps: Turn on to see recently used apps on the right side of the Dock.

Update your iPhone, iPad, or iPod touch

Add or remove widgets in the Today View

You can add and remove widgets and even reorder them so your favorite ones are at the top.

1. Swipe right over the Home screen or Lock screen.
2. Scroll to the bottom and tap Edit.
3. To add a widget, tap . To remove a widget, tap . To reorder your widgets, touch and hold next to the apps and drag them in the order that you want.
4. To finish, tap Done.

It’s a Siri learning thing. The alarm/timer means iOS/Siri thinks this is an app you use regularly at a particular time of day. So, it sticks the icon of that app on the Dock around the time of day you use it. All in the idea this makes it easier to access. I had it doing that for the local newspaper and couldn’t figure out how to get rid of. It certainly wasn’t ”easier” to get at when the normal app icon for the newspaper was literally right above the Dock.

Took a fair amount of searching around the web to find the correct answer.

How to stop it. First, be on the iOS desktop. Swipe right to the widgets. Scroll the screen up if necesarry to see the Edit button and tap that. Tap the red minus button next to Siri so it stops trying to be so “helpful”. The timer induced icons should disappear.

This isn't a great example, but do you mean something like the wedge over the second icon?

If so, that's just an app being updated. The wedge will start out solid and circle around to nothing like a clock as a progress indicator.

I think that a recently used app that also used your location (Location services) will show that arrow icon on the corner of the app icon in the recently used apps section of the dock. I see that from time to time.

I can't think what that would be. I don't think I've ever seen an app with an arrow on it.

a recently used app that also used your location (Location services) will show that arrow icon

Ah! I had forgotten about Location Services. You are likely correct.