The infestation of bed bugs have already led to litigation against hotels in New York, London, and other cities. There are even websites dedicated to such litigation.
Other stores including Abercrombie and Fitch and Hollister have been forced to close down temporarily due to infestations in New York.
Unlike hotels, such retailers face more of a marketing than a legal threat. It is difficult as a matter of causation to link a retailer to a small number of bugs. Hotels are often easier to prove as sources of such bugs found later in homes or responsible for bites during hotel stays.
Source: NBC.