I don't seem to receive my Twitch Prime skins although I claimed the loot and linked my accounts yesterday.
Thank you for your answer.
If you still haven't received those rewards try unlinking and re-linking your EA Account with Twitch. I've seen that help push the rewards through in some cases. You can find more details on how to unlink and re-link the accounts over at the EA Help website.
If you're still not getting the rewards after that I'd recommend reaching out to Twitch Support so they can look into this for you.