1. In business, liability is used to refer to how financially liable you are for the actions of a company if it becomes insolvent. In the case of a sole trader, his personal possessions are at risk when it comes to paying debts. This is called unlimited liability.

One of the advantages of been a plc or ltd however, is limited liability. Shareholders in a large company are only liable for the capital they invested, and nothing else. The company is a seperate legal entity to the owners, and the debts of one are not the debts of the other.

2. Common usage: "You're a liability," meaning "You cause numerous problems."