The Alchemist mutation discovery Vestigial arms grants an extra arm.
The text description states
The alchemist gains a new arm (left or right) on his torso. The arm is fully under his control and cannot be concealed except with magic or bulky clothing. The arm does not give the alchemist any extra attacks or actions per round, though the arm can wield a weapon and make attacks as part of the alchemist’s attack routine (using two-weapon fighting). The arm can manipulate or hold items as well as the alchemist’s original arms (for example, allowing the alchemist to use one hand to wield a weapon, another hand to hold a potion, and the third hand to throw a bomb). The arm has its own “hand” and “ring” magic item slots (though the alchemist can still only wear two rings and two hand magic items at a time).
My question is if the Alchemists natural form has claws would these arms have the ability to add natural attacks without anything extra needed? It states you don't gain extra actions but can wield weapons in the arm(s) so would this be different?