2nd image above, with the sugar cone is a bit misleading, as sugar nippers were not used with a sugar cone, but with cone sugar...
The large sugar cone would have been broken into smaller pieces with a sugar hammer/axe.... the small pieces would have been served at table in a sugar bowl, or broken into even smaller pieces with the nippers - either at table, or in the 'posher houses' in the kitchen.
Bull leaders although similar in shape have rounded balls in place of the cutting edges, and usually some device for fastening in the closed position (although some relied upon hand pressure to keep them closed)....