Just like with anything, you have to be sure not to OD when using. This comes from MadSci.org:
Large amounts of copper can be toxic. The recommended intake of copper for adults is 1.5-3.0 mg per day. The exact amount of copper required to produce toxicity is not known but is at least twice the recommended amount.
Copper poisoning has resulted from ingestion of several grams at one tie, use of copper salts on burned skin, drinking water from contaminated water supplies, consumption of acidic food or beverages that have been stored in unlined copper containers, and long-term use of copper-containing pesticides. There would not be any danger from a piece of copper falling into a soup pot, unless the copper was allowed to remain in the soup for an extended storage time.
For most of us, the amount of copper we encounter from drinking water from copper pipes or from other sources is not enough to produce any symptoms of toxicity. Copper cooking utensils should be "lined" or coated with another metal to prevent exposure to potentially harmful levels of copper.