I would do the following, a would place a rubber pad under the inside magnet, a scrubber pad from a magnet cleaner will also work, you an get rubber gasket material in bulk sheets at most autoparts stores, you probably also have an old freebie mouse pad that could be used as well, they are usually neoprene. Take the pump out of the clamp and squeeze it in, it is flexible and should bend in just enough to give a tighter grip. The magnet holder can stick through 1 1/8" thick glass so it is very strong and transmits a lot of vibration on thinner glass. In March we should have a redesigned clamp with a rubber cushion insert.