Thank you for using Apple Support Communities! I understand that the Home button on your iPhone 8 Plus is not vibrating. I would be happy to help.
Let's start by adjusting the click settings for your Home button, then checking if there's any change:
How to use the Home button on iPhone 7 and iPhone 8 - Apple Support
The following section also has some additional steps to try for this behavior:
If the Home button doesn't respond
If the Home button doesn't respond when you press it, follow these steps:
- Make sure that your iPhone is on.
- Make sure that your hands are clean and dry.
- Remove any case or protective film that covers the Home button.
Your iPhone uses capacitive sensing technology on both the Multi-Touch display and the Home button. You should be able to use the Home button with gloves that work with the display.
If the Home button on your iPhone 8 Plus is not vibrating after those steps, confirm if Haptic Feedback is enabled from Settings > Sounds & Haptics:
How to put your iPhone on vibrate, ring, or silent mode - Apple Support
Keep us posted with what happens from here.
Cheers!