I ordered platinum (Pt is hard to find from LCS's) from Amagi recently, my order was placed December 8, and the order arrived today. OK, there were the Holidays, but there was still a longer than expected delay. Amagi did send me tracking info once they shipped.
I paid with Bitcoin, one of the reasons I chose them. Amagi has announced that they will accept ONLY Bitcoin (perhaps other "cryptos" as well) by the end of 2015.
But, I got what I ordered OK. They even tossed in a small amount of silver for the delay.
Still, they should ship more quickly once their payment has been received.
I have noticed in the many reviews I read that shipment is SLOW for whatever reasons, maybe there are chain-of-custody issues in physical handling of precious metals (to prevent stealing in-house, etc.).
Provident was faster, but Amagi did ship.
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Pro tip: If there seems to be any delay, call them! Nag them to keep your order moving!