McCluskie, a 36-year-old window cleaner and skunk cannabis smoker, claimed to have lost control after a tirade of abuse from his sister. He said the last thing he remembered was her coming at him with a knife.
But the prosecution said he killed his 29-year-old sister after she lost patience with him and asked him to leave the flat in Pelter Street, Shoreditch, east London, where they lived.
The final straw came when McCluskie left taps running and a sink overflowed in March last year.
She was killed by being hit over the head at least twice and her body was hacked into six pieces using a cleaver and a knife.
The next day, McCluskie lugged a heavy suitcase to a local cab firm and was last seen taking it towards the canal. Miss McCluskie's torso was found a week later when the case snapped open, and her limbs were found in black bags a week later. But her head was not found for six months when it too was discovered in the water.