Once Upon a Midnight Scary (1979)
If anybody is interested how I've found it, here it is:
First I was Googling the themes of the subject and while doing that, I made the useful discovery that the paralyzing hand in the story is called a "Hand of Glory", which is the severed and preserved hand of a hanged murderer.
Then I Googled this
episode|movie|film+"hand of glory"+uncle+billiard|pool|ball
Which lead to this:
It's a horror novel series and the first one got a movie adaptation.