Hora is a fine place for shopping, both for value and variety. Zoom (tel. 22850/23-675), on the waterfront, is the place to head for books and magazines. To the right and up from the entrance to the Old Market is Techni (tel. 22850/24-767), which has two shops within 20m (66 ft.) of each other. The first shop contains a good array of silver jewelry at fair prices; farther along the street, the second and more interesting of the two features textiles, many hand-woven (including some antiques) by island women. Nearby, Loom (tel. 22850/25-531), as its name suggests, has hand-woven fabrics and garments.
On the paralia next to Grotta Tours is tiny Galini (tel. 22850/24-785), with a collection of local ceramics. Also on the paralia, the venerable Pamponas Wines (tel. 22850/22-258) has been here since 1915; the local citron liqueur is a house specialty, along with a wide variety of Naxian wines. If you want something to eat with your wine, head along the paralia to the OTE, turn left on the main inland street, Papavasiliou, and proceed up the left side of the street until your nose leads you into Tirokomika Proionda Naxou (tel. 22850/22-230). This delightful old store is filled with excellent local cheeses (kephalotiri, a superb sharp cheese, and milder graviera), barrels of olives, local wines, honey, spices, and dried comestibles.
In the kastro itself, Antico Veneziano (tel. 22850/26-206) has just that -- antiques from the island's Venetian period -- as well as glassware, woodcarvings, and old weavings from throughout Greece. This is a lovely place to browse; it's in a handsome Venetian-period house.