From Longman Dictionary of Contemporary Englishtumbledowntum‧ble‧down /ˈtʌmbəldaʊn/ adjective [only before noun] CONDITION/STATE OF somethinga tumbledown building is old and beginning to fall down a tumbledown cottage
Examples from the Corpus
tumbledown• Most buildings are tumbledown and all but the main streets are eerily deserted.• We arrived at a tumbledown cottage, surrounded by overgrown rose bushes and a broken fence.• That financial crisis weathered, Zyuganov will then have to find the money for large-scale state investment in tumbledown factories.• The college was a collection of tumbledown old buildings in Paddington. 