For the installation from the LiveCD, it is not possible for now to keep your /home partition easily.
One way would be to not
mount /home in the installation process.
Then, after then installation, boot it, switch to runlevel 3, log as root and then :
- modify /etc/fstab to add your old /home partition.
- modify /etc/passwd and /etc/shadow and /etc/group to match the ones from your old partition regarding you old users.
- delete /home contains and issue "mount /home"
Then switch back to runlevel 4.
This would propably work, but as you see, it's not supported at the moment in the live installer.
About "Managed to transfer cd.iso to pendrive, via liveclone, but can't install to hdd." I think something is wrong here: liveclone is not intended to be used to do that. For installing to the hard-drive, you must boot the iso (via a CD or via your pendrive) and then install using salix-live-installer, not using liveclone.
Liveclone is to be used to customize the LiveCD and make another LiveCD with it.
[Edit] Ooops, I didn't see that Akuna already replied