Why would anyone want a celebrity's clone? Lots of reasons. A Boys From Brazil
type experiment in seeing if you could duplicate the childhood experiences enough to recreate a great or horrific leader. You're a "stage parent" whose own dreams of glory never came true, and you figure starting with the clone of someone who did achieve success will give them a head start. You're an obsessive fan and "owning" a piece of the celebrity is the closest you can come to owning the celebrity themself. You belong to a secret society dedicated to getting revenge on someone, so you clone them over and over, get them to just the right age, then ritually kill them.
It doesn't have to be too likely a motive, as long as you can convince the audience that this one
person or couple has it.
One thing to keep in mind is that if cloning is beyond the experimental stage and available to the (wealthy) public, there will
be laws governing who can clone whom and under what circumstances. For example, in the Che clone story the OP is writing, cloning is a government monopoly primarily used for military purposes. Yhe only celebrities they're interested in cloning are war heroes. (This does not rule out the possibility of behind-doors shenanigans.)
In a different story, celebrities might have the right to control their "likeness", so they can choose to let themselves be cloned, or have specific "no cloning" clauses in their contracts. (A down at the heels movie star might eat for a month or three on some nostalgic fan's desire to have a copy of them to raise.)