B.B.
I did what Lori S. did - cut it a little at a time. My 3 year old threw a HUGE fit, had a hard time going to bed/nap for a couple of days, and that was it. After I cut it the very first time (just a little snip so that the air came out of it) she didn't want it again, but threw the big fit that night.
My 18 month old (at the same time as my 3 year old) didn't mind that it was snipped. She kept it in her mouth. I kept snipping more and more over several days/or weeks, I can't remember, but it was gradual. She kept that thing in her mouth until there was hardly anything for her to hang on to then decided that she didn't want it anymore. Good luck.