Tatum's only had them twice that I've noticed but the first time it scared the heck out of me because I thought she was choking or gasping for breath. Patting her like a baby helps them go away. I agree it's pretty cute though!
And yes, Toto's mom.... the burps are pretty funny too. Tatum likes to get close to me (behind my head at the top of the couch) and let those out. Then she kisses and kisses me.... kinda like "thanks for that wonderful meal"!