What's the Name of That Book??? discussion

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The Phantom of Kansas
SOLVED: Adult Fiction
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SOLVED. Science fiction maybe 70's. Woman is repeatedly murdered, each time new clone restarts with memories to last save, seeking murderer. Spoiler ahead. [s]
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" In The Ophiuchi Hotline a character known as "Javelin" takes modification to extremes by having only one arm and one leg, with a "ped", at opposite corners of a slim body. "


The remnants of humanity that survived relocated to the moon and other planets. But they are not alone in their struggle—someone or something, somewhere in deep space, is sending them advanced scientific data via the Ophiuchi Hotline. And by the twenty-fifth century, the technological gifts from the Hotline—especially its biological and medical solutions—have created a world unlike any ever known or imagined…”
No reincarnating clone in that, which was the main plot of the book I read. But maybe its all in the short story mentioned, except for the Javelin person. Will check out the short story...

Was thinking this might be Ursula K Le Quin. I have a spoiler but will see if anyone is able to identify the book without it. I'll update with spoiler if not...