Reuters today reported on the growth of "cyberinsurance":

The recent string of sensational hacker attacks is driving companies to seek "cyberinsurance" worth hundreds of millions of dollars, even though many policies can still leave them exposed to claims.

Insurers and insurance brokers say demand is soaring, as companies try to protect themselves against civil suits and the potential for fines by governments and regulators, but also as they seek help paying for mundane costs like "sorry letters" to customers.

This is not a new product, just a repackaged version of an old offering called "Errors and Omissions Insurance."  I found a decent definition here but one company sells it this way:

Errors and Omissions Insurance helps protect our professional service firm clients from claims relating to an error or omission (mistake) in providing professional services that can lead to a lawsuit. An error or omission can occur on almost any transaction. It doesn’t matter how long you have been in business or how good you are. All Professional Service Firms are at risk. Our E&O insurance programs help provide protection for the busy professional from the liability associated with such errors, mistakes or omissions.