I have been searching for MONTHS for the answer to this exact question (or find other cats who share the same fetish)!!!
I have 4 little savages but only one (the only female - she's 8) goes bonkers over the smell of chlorine! I thought it might be a female/kitten thing. She's very 'maternal' to the other cats (and my balls of knitting yarn -- they all end up under the bed during a storm), so I thought the smell might mimic the scent of a baby kitten.
I first noticed it when I got a new hot tub and changed from bromine to chlorine. Whenever I come back in the house from a soak, she follows me around nipping at anything she can sink her pointy little teeth into. She will smoosh her face (and teeth) into my cotton terry robe to get at the scent (flavor?)! It's quite embarassing when I have company over as she will nip at their calves and ankles, too!
The funny thing is that she is quite persistent and I have to keep an eye on her otherwise she will sneak up and pounce on me

. Of course, it has since become our little game. ;D
I'm so very curious to know why this is.