K.K.
My daughter was very attached to her binky and I read to just cut the tip off so it no longer has suction. I cut it while she wasn't looking and when she went to use her binky it no longer worked for her. She looked a little confused at first and said she didn't want it, then she offered it to her snuggly bear and then told me that "he no wanted it". She wanted to throw it away in the trashcan and I explained to her if she did it would no longer come back and it was gone for good. In less than 5 minutes the binky was gone and she never asked about it again. I moved all the other binkys that afternoon out of site. I also watched for opportunities for a few days following to comfort her a little extra when she would normally use the binky. Hope this helps.