I have 2 Radeon RX 470 cards, a 4GB and an 8GB one.
The 4GB one refuses to mine, saying it has insufficient memory when I load ethminer-0.9.41-genoil-1.1.7
The 8GB one mines (DaggerHashimoto) ETH at 23MH/s.
My card is the Sapphire RX 470 Nitro+ OC 8GB, mem clock speed is at 2000 MHz, Core clock 1260 MHz.
Not sure why my 4GB Sapphire Nitro+ won't mine it .. as many people mine with 4GB or less ... weird.