Mine arrived within 5 business days. I went to the DMV on a Thursday and got my ID the following week, I believe definitely by Friday.
California has a very fast working DMV when it comes down to it, my NY DL took over 3 weeks to arrive.
Having to deal with the state you should wait several months then when you’re sure something is wrong and they screwed up your request wait another 2 or 3 weeks then it should be delivered a week later providing its not a postal holiday on the delivery date. :-)