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In spell combat, you can
- get your iterative attacks with a light or one-handed weapon in one hand (this can be a claw if you want, since your claw is a light weapon), and
- cast a spell with the other hand.
That's it. The FAQ confirms that spell combat is not a full attack, so you don't get any of the options you can add to a full attack, such as extra natural attacks.
I believe you could spellstrike with your off-hand claw, since spellstrike is a free action in addition to the spell combat full-round action.