A present participle or gerund form meaning the act of outfitting a building with eaves or listening secretly; archaic or rare usage.
Could derive from either 'eave' (to provide with eaves) or 'eavesdrop' (to listen secretly), with the '-ing' suffix. Usage is unclear in modern English.
This word highlights how English can be ambiguous — 'eavesing' could mean either installing roof overhangs or illegally spying on someone, and only context tells you which one.
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