What do I do when the icons do not respond to a touch anymore. A prolonged touch produces a small drop down menu.

Techneut Said:

"What do I do when the icons do not respond to a touch anymore? A prolonged touch produces a small drop down menu."

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Seems you have a lagging iPhone....

So, see if anything here helps:

• If the Screen isn’t Working on your iPhone or iPad - Apple Support



• If your iPhone is Stuck on the Apple Logo - Apple Support

• If your iPhone Won't Turn On or is Frozen - Apple Support

• If you Need More Help - iPhone - Apple Support

If your phone isn’t working right, try re-starting it:

https://support.apple.com/en-au/guide/iphone/iph841379c3d/ios

If needed:

iPhone Support:

iPhone - Official Apple Support