There is a chance you may see a message like this:
"and website display the default page of cPanel:
Great Success !
Apache is working on your cPanel® and WHM™ Server"
This is normal. Due to DNS caching, your computer gets your website files from an IP. If/When the IP changes, it will take some time for your computer to detect the IP change in order to retrieve your website from the correct (new) IP address.
You can speed up this process by flushing your computer DNS caching.