"So-called “jump cloning” works in much the same manner. Once a jump contract has been agreed upon, the customer can enter any cloning facility at any station, whereupon they will be brain-scanned, their originating bodies effectively flatlined, and their consciousness transferred to a waiting jump clone at their requested destination. Any implants in the originating body are carefully picked out by machines and just as carefully inserted into a fresh clone waiting at the original jumping-off point. Once the owner finally jumps back, from their point of view, they are returning to the same body, with the same implants and all, when in actuality it is a new clone. "
Considering the way the physical orientation section is described (two years of deprivation tanks, zero-G environments, shock stimulations, and other general forms of torture that leaves prospective capsuleers either quitting, dying, or losing their sanity), it makes sense that a significant chunk of capsuleer graduates emerge from that with permanent mental damage.
Backstage wiki is a direct copy of EVElopedia made after EVElopedia was taken offline. That is a CCP article (written by CCP Abraxas, I think). You can find the official version on the new fiction portal here. As the new fiction portal lacks anchor tags, it’s easier to link to a specific section by using the Backstage version.
Being able to unpick implants would kill the implant market though, so there needs to be a lore reason not to.
How about implants can extract themselves in highly controlled conditions (arranged jump cloning for instance, but the destructive trauma of pod death/flash fried brain causes extensive non-recoverable damage.
Or, the brand new implants are suspended in a bio-fluid, and are volatile once they are removed from its original packaging and implanted. They only survive outside the body for a dozen minutes at most, therefore they must be implanted into a fresh clone asap or they degrade.