If you use Wild Claw for Kayle does it empower her to level 3

No — Wild Claw gives Kayle just one Empowered status, not three.

Kayle enters play with 0 Empowered statuses, and Wild Claw's "Empower it" performs a single Empower game action (Rule 441). One action = one Empowered status, even though Kayle has permission to hold up to three (Rule 441.1.c.1). So she'd get +2 Might for that one status — no Deflect 3 or Ganking, which only turn on at three statuses. To reach "level 3" you'd still need to pay her [3] Empower ability two more times afterward (Rule 827; FAQ #11753).