Is Two-Weapon Fighting needed with Claws of the Beast?

[Kevin Willis]

Yes, I get that they are finesseable, but I'm not seeing how that lets you get iteratives with them.

Ah, I understand the question now.

You don't get iteratives.  That's specifically called out in the CRB.

Natural Attacks: Attacks made with natural weapons, such as claws and bites, are melee attacks that can be made against any creature within your reach (usually 5 feet). These attacks are made using your full attack bonus and deal an amount of damage that depends on their type (plus your Strength modifier, as normal). You do not receive additional natural attacks for a high base attack bonus. Instead, you receive additional attack rolls for multiple limb and body parts capable of making the attack (as noted by the race or ability that grants the attacks). If you possess only one natural attack (such as a bite—two claw attacks do not qualify), you add 1–1/2 times your Strength bonus on damage rolls made with that attack.

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Because if they're treated as a light weapon, they function like a kukri or a dagger, which you can take iteratives with.  But you can't use them for a full-attack per a normal weapon and as a full attack with natural attacks at the same time.  One or the other.

I think there might be confusion about what is meant by "light weapon."  Light weapon is a subset of other weapons.  It's not a separate weapon type.  So you can have:

• Manufactured weapon (light)
  
• Manufactured weapon (not light)
  
• Natural weapon (light) (all natural weapons are considered light)
  

You can only take iterative attacks with manufactured weapons (unless you have a special ability allowing otherwise).