This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

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n. Articles, such as kitchenware, furniture, or ornaments, made of wood.

n. Articles made from wood.

n. A general name for bowls, dishes, etc., turned from solid blocks of wood: often used also of coopers' work, such as pails and tubs.

n. ware for domestic use made of wood

"Used extensively for all classes of cooperage and woodenware on the Pacific"

ware   

wooden spoon   

woodware   

scriptorium    fishskin    chicken pox    chandlery    scarceness    marvellousness    cistus    cordwood    garlick    biggin