Of course one of the great putting greens of all time is the Himalayas at St. Andrews. There convenes not only putting practice, but a whole "ladies club" and a genteel society.
Bunkerhill, (Axeland and Proctor) built an homage to Himalayas at their other Nebraska course, Bayside in Ogallala. An expansive dramatically contoured putting green, sited just below an impressive log construction clubhouse with wrap around veranda, that backdrops to a vista across a beautiful lake, is a site to behold.
However, as Kyle notes about costs, Bayside can't afford to maintain that asset. So, it has gone to pot. Bayside still has a superior practice facility and a good practice putting green, but the Himalaya's green has gone neglected. They don't get enough clientele nor collect enough fees to keep it up. It sits there sort of lonely and sad.
Putting greens can add a great deal of ambiance to a good club. I think back in particular to a scene I observed at Charleston CC on a weekday afternoon. A group of 20 somethings came in after work hours and convened around that putting green, staged just below a fine looking clubhouse and overlooking the 18th hole, and had what appeared to be a regular putting contest. Men and women paired with a relaxing refreshment, and sociable conversation whilst puttering around, so to speak. That certainly beats the atmosphere of a dark and enclosed gin mill for socialization.