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It is merely packing material for the dies and should have been thrown in the trash as it has no value.
I disagree. Most Mint memorabilia has value to collectors, even strange things like this. Not only that, but stuff like this helps researchers understand the processes and procedures that were in place at the Mint throughout its history. Things like this help us learn more about the coins we collect and disregarding these miscellaneous items would do a disservice to the hobby.
With that said, there is a problem with this particular seller's item. There is no provenance. If there is no way to prove that this item originated from the US Mint, it has little to no value.
Fred Weinberg has sold these die caps in the past, many of which were used for commemorative $1 and 50C pieces from the 80s or 90s, if I remember correctly. The difference is that his were purchased from a former Mint Director (or other Mint Official) and can be linked directly from the Mint. I have one of these, but I don't remember what coin it was used on.