Turbulence, even if moderate, can cause injuries so it can be dangerous. It is the leading cause of nonfatal aviation accidents but turbulence alone rarely causes an fatal accident. Additional weather factors usually are the major cause, while turbulence is just a contributing factor.
"From 1992 to 2001, there were 4,326 weather accidents that occurred in the United States. Of these 4,326 accidents, 509 were cited as turbulence weather events. (Not all accidents resulted in a crash.) Nearly 23 percent of these turbulence-related accidents resulted in fatal injuries to the occupants of the aircraft. The National Transportation Safety Board (NTSB) cited downdraft as the cause or factor most often in the general aviation accidents. Clear air turbulence was cited most often in the air carrier accidents."
http://www.nasdac.faa.gov/aviation_studi…
Here is a listing of accidents where turbulence was a factor-
http://aviation-safety.net/database/dbli…
You will find that most were the result of operating in weather that was far worse than simply turbulent air.