The answer to the crossword for the term 'First Name at the Cosmetics Counter' is Estee, which is a five-letter word. Estee is a popular first name in the cosmetics industry, as it is the name of the founder of the well-known cosmetics company Estee Lauder. Estee Lauder is a global leader in the beauty industry, offering a wide range of products from skincare to makeup. Estee is also a common name for employees at cosmetics counters, as it is associated with the brand and its products.