just as an aside, and as an extension to Ekimp's comments ............. there was a period c. mid C19, when there seemed to be a fashion for adding handles to tumblers thereby converting them to tankards - perhaps something to do with people's changing drinking habits. Unrelated here, but a small social habit worth remembering.
As to the sharpness of the decoration: ... on cut glass, relief diamonds aren't in relief - they appear so, but are in fact on the same plane as the body of the glass ............. whereas, with the moulded diamonds here they do appear to be genuinely in relief from the rest of the body of glass, hence the greater awareness when touching.
In comparison with the mustard pots from Neil's site, I could be very wrong, but the proportions of the height to width, appear far less (more squat) than on the piece here, which looks taller, and far more ornamental particularly on the base.