"Global dimming" is a term meaning the cooling of the general atosphere of earth
In the case of global warming, on Earth, the icecaps would melt. This would cause more water on the surface of the earth. Considering that liquid water has a higher specific heat then solid water (ice) or land, the water would not heat up as much in the summer. Most scientists believe that this will cause a period of global dimming (cooling) and eventually, lead to another ice age.
This has nothing to do with icebergs. A civilizaiton can not be "knocked out" by icebergs, but considering that you are not on the planet earth in civilization it would be nice to be able to experience climate changes that could have happened to earth. Considering climate changes take thousands of years (without humans to "help" things along) perhaps in a game you play, by the year 150 b.c.e. some forests turn into pine forests, and glaciers for in the north, that wipe out cities and can't be built on. This would actually cause fewer icebergs, because the glaciers ae spreading, not shrinking, in this case.
Although it wouldn't do too much to the game, it would be a fun concept to play around with, and not every game would experience global dimming, only about one in twenty