There is no distinct traditional clothing specific to Tasmania. As an Australian state since 1901 (and a British colony from 1803), Tasmania shares the broader national narrative: Indigenous Palawa culture was violently disrupted, and European settlers wore contemporary British fashions adapted to local conditions.
Today, local labels (e.g., Tasmanian Wool Centre, Devold merino, Blundstone boots—founded in Hobart 1870) reflect the island's climate and heritage. But no garment carries the codified "national dress" status of a kilt, kimono, or dirndl.
For cultural experiences, visit Tasmanian Museum and Art Gallery (Hobart) or Queen Victoria Museum (Launceston) for Palawa artifacts, or attend Dark Mofo / MONA FOMA festivals where contemporary artists reinterpret heritage.