1877, "delicacies, articles of fine food," American English, from German delikatessen, plural of delikatesse "a delicacy, fine food," from French délicatesse (1560s), from délicat "fine," from Latin delicatus "alluring, delightful, dainty" (see delicate). As a store where such things are sold, 1901, short for delicatessen shop.
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