When someone hiccups and then releases a burp.

This is when you nearly hiccup, but instead of "cupping" you burp instead.
This usually occurs after after a post-meal smoke.
You have a meal, then go for a ciggarette. Normally after the first puff you experience the "hic-burp".
And the more you try to stop it from occuring, the worse it gets. And don't even try to speak.