The two men were drinking at 1:50 a.m. when one of them attacked his 55-year-old neighbor with a power saw, the Chicago Sun-Times reported.
The attacker fled, and the victim was transported to the hospital for treatment to his hand.
His left fingers were cut, but were not severed, police said, and he was listed in stable condition early Wednesday.
Police did not say what sparked the disagreement and had no one in custody early Wednesday, the Chicago Tribune reported.
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