I don't think it is a bullet mould, because of the diminutive size of this piece, and the "tweezers" is awkward to hold and close. You have to hold it near ball, to keep it closed. Medical use would be difficult for the same reason. Please see the new pics. I have a common ink pen placed for perspective.
I had an opinion from a friend, that perhaps it might be used to repair tack; horse riding gear. ??
Thanks,
Stephen*