When I trim claws, no raggedy edges are left, they are trimmed straight and blunt. If I let it go too long, claws get stuck in things and when I see a cat yanking to free a claw from the upholstery, carpet or afghan my heart jumps in my throat because they CAN pull a claw out.
In addition my cats play together a lot. Keeping claws trimmed helps prevent inadvertent injury. It also keeps me from being poked full of holes, as all of them enjoy making biscuits ON my body.
The Kitten especially with her extra toes, it is important to keep that claw in the cleft trimmed, serious harm could result if it got caught on something or grew into itself.
<edit to add> as the cats get older the trimming does need to be done less frequently, however, their nails do grow at different speeds. You can have three claws that seem to have grown not at all and one severely sharp one poking out. That, too is dangerous, both for the cat with the claw, and the other cats.