My first wrap skirt was a jersey one from a shop that doesn't exist any more, bought for a works do I had forty minutes to dress for. It taught me that a wrap skirt lives or dies on the tie, because mine came loose on a packed train and I spent the rest of the journey holding it shut like a dressing gown.
If you've never owned one, start with a midweight cotton or a cotton and viscose mix rather than anything slippery. Pure silk looks beautiful on the hanger and is a nightmare in practice, it slides open at the waist the second you sit down, and satin does the same thing but worse because it's cooler to the touch and you can't tell it's slipping until it has. Cotton has enough grip to hold its wrap through a full day, sitting, standing, getting in and out of a car, without you constantly checking the front panel hasn't drifted. A knee length one in a solid colour, navy or a soft olive rather than anything with a print you'll tire of by March, earns you the most wear for the least thought. Prints are lovely once you've got the shape sorted, but they're a second purchase, not a first.
In an ordinary wardrobe it does more than people give it credit for. A plain knit on top and flat boots takes it straight into a normal working day, and the same skirt with a fitted shirt tucked into the tie looks like you made an effort without actually making one. It also does the thing most skirts can't, which is adjust to how you're feeling that morning, tie it looser after a big lunch and nobody's any the wiser. The only pairing I'd avoid is anything equally fluid on top, a wrap skirt with a floaty blouse just reads as a lot of movement and no shape.
Before you buy, check the tie itself, not just the fabric. A narrow tie that's only sewn on at one point will twist and come undone by midday, you want it anchored properly on both sides of the waistband, ideally with an inner tie or a button underneath doing the real holding and the outer bow just for show. Check the wrap overlap too, hold the front panels and see how far they cross, anything less than a generous handspan of overlap will gape when you walk. And check the hem falls evenly when you move, not just standing still in the changing room mirror.
This suits anyone who wants a skirt that can loosen a notch after lunch and still look deliberate.