The phrase "to wear to work" means to put on or don clothing that is appropriate for a professional environment, typically clothes that are neat and clean. Full definition
I've already worn it to work on several really hot days this summer and I love how you feel light and breezy but still manage to look quite dressed at the same time! (caliope-couture.com)
I love the longer sleeves, perfect for wearing to work with a skirt. (ladyinviolet.com)