It has been a very long time since I watched the Twilight Zone, and I
have forgotten most of the stories. That was a strange one, certainly.
I thought it was extremely well-done, for several reasons: Bedaker was a selfish, petty man, and David Wayne (who played him) made it clear exactly how he was destroyed by his own selfishness and pettiness. Cadwallader’s scenery-chewing was magnificent, and the episode made a strong point that one who longs for immortality may have no idea what it means or what to do with it.
I also admire the way that this (very) short story handles it: http://ficly.com/stories/1456