"The greens were rolling about 12 on the stimpmeter early in the week (a measure of how far a ball rolls out a notch in a stick on a flat surface) and someone even tossed out the possibility of the greens reaching 13 by the end of the week."How fast is a twelve? As a recreational golfer, it's unlikely you've ever had to play greens that glassy. Here's a chart from the Turf Management school at Michigan State University to give you an idea of what a typical non-pro sees on their home course:
Speeds for Regular Membership Play (measured by Stimpmeter)
8'6" Fast
7'6" Medium-Fast
6'6" Medium
5'6" Medium-Slow
4'6" Slow
Speeds for Tournament Play
10'6" Fast
9'6" Medium-Fast
8'6" Medium
7'6" Medium-Slow
6'6" Slow
The main reason a superintendent doesn't keep greens at your club that quick are simple: many climates won't support it long-term in the summer. On top of that achieving fast greens on a daily basis requires more maintenance. Due to labor, material and equipment costs that makes it prohibitively expensive, and if anything is missed, or things go wrong the grass on the greens will die very quickly. Again, from Michigan State, here's a look into what is necessary:
Fast greens must be mowed more frequently. They must be verticut more frequently. They must be topdressed more frequently. Fertilization must be on a light and frequent basis. Watering must be done more carefully. Lower mowing heights needed to achieve fast greens also place the turfgrass plant under more stress. A reduced rooting depth can be expected under lower mowing heights. The shorter roots require more frequent irrigation and syringing during the summer to sustain the turfgrass plant. Shorter roots also reduce the grass plant's ability to recover from insect and disease attack. An increase in insecticide and fungicide use may be needed.

Pictured: Eagle Ridge's 17 Green looking back up the fairway. You can't see the drop off from the right side, but it looms over the top of the green in this picture. I call it "The Valley of Sin." Photo by Charles Boyer.