I just measured mine, and it is 1 19/32 inches tall, to the nearest 1/32 inch. (It might have been just a hair taller, but my measuring tape only goes down to 32nds.) Given that it is clearly an assembly of at least two pieces, I would conjecture that its design height might have been 1 5/8 inches with some variation in production samples allowed.
By the way, I believe this is indeed the item you asked about. I also own the earlier VPI spindle clamp made up of two pieces of black delrin plastic, as well as the early version of the VPI HRX all metal clamp. I also have the HRX version of this clamp, where the stainless top and delrin base are bonded together. This last looks very similar to the piece you asked about, but I measured its height to be 1 17/32 inches.
By the way, I believe this is indeed the item you asked about. I also own the earlier VPI spindle clamp made up of two pieces of black delrin plastic, as well as the early version of the VPI HRX all metal clamp. I also have the HRX version of this clamp, where the stainless top and delrin base are bonded together. This last looks very similar to the piece you asked about, but I measured its height to be 1 17/32 inches.