Usually web propagation takes 48-72 hours. That's why your website is still pointing to the old ip address. If you want to access website from new ip, you need to do some changes on your machine. The changes will not impact web propagation speed, it will just allow you to access the new ip.
Open C:\Windows\System32\drivers\etc\hosts in notepad (or any editor) as administrator and add xxx.xxx.xxx.xxx example.com where xxx represents your new ip.