There is not for delayed luggage.

How did you submit the initial claim? How have you tried following up?
2-4 weeks seems ok to me for such a claim as it is not priority and probably has to pass through a few departments. Now that you're at a month it's fine to get a bit firmer. Calling or using Social Media to confirm the receipt of the claim and get a stated expectation for payment.

I had my luggage delayed by 55 hours, even though it arrived on the next flight just 2.5 hours later than I did, because the airport delivery service is grossly incompetent. Took me 6 weeks from claim to payment with AY. Still fighting them because their bank charged a fee when they said it wouldn't and my bank doesn't charge wire fees.