I, too, had this. Violent hiccups that also brought the worst heartburn I've ever had. The result was akin to ALMOST vomiting 50-100 times for 10 minutes. I did find, weirdly, that the Alka-seltzer anti- acid chewable tablets helped. Still had the hiccups, but it took some of the violent acid edge off.
Of course, with the Cisplatin, I wanted to throw those tablets up as well, but if I was careful and used one tablet approximately very hour, I could hang through the hiccups and hold down what little I could eat.
Your mileage may vary, but I did manage to walk a bit of a tightrope on this particular Cisplatin side-effect.
Good luck, hang in there and hang tough!
The Hellion