Science fiction novel from 70s or early 80's I think, about a woman repeatedly murdered and restored as a clone with only memories up to last backup.
The novel is about her search for her murderer and his/her motives. In this society cosmetic genetic mods are normal - protagonist likes her legs lengthened and lower legs covered in long fur.
At one point another clone appears who is a deep space pilot and is modded to have only one arm and one leg, so that in zero G she can get around her spaceship through special tunnels.
Another clone is a deep space asteroid(?) miner and is modded to be photosynthetic.
The murderer turns out to be the woman's own illegal clone - a male. Killing her out of jealousy I think?