I noticed that a lot of people did not know, that it is possible to instantly see your site after a name server change. Basically you need to wipe your computer clean when doing this. When I personally do this I start by clearing all my browser cache.

The next step is to go to the Windows Command Prompt
Click on the "Start" menu.
Click on "Run..."
Type "cmd"

Now you have to clear your DNS. Simply input this:
ipconfig /flushdns

Last step is to check if your computer/isp is seeing the new changes of the name servers. All you need to do is ping your domain. By pinging your domain it will show the IP addresses there for determining which server is being shown.

Ping your domain by inputting this:
ping yourdomain.com

When you ping your domain and the new IP addresses are shown you should now be able to see it in your browser. I hope this helps the people that were waiting 12-24 hours to start developing their sites.

Important Notice: This may not work for all cases. If it does not work the first time, try again.