So I've seen around recently that some people have icons next to their name. I understand the Admin and Donated icons, but a user called Ovendonkey has a Mirror's Edge <I think they're called> favicon. Which makes me wonder - How do I get a favicon next to my name and how do I make it a custom one like Oven's ME one?

It is the thing that twitch subscriber have.

It's imported directly from Twitch's database of partners currently.

If they're imported from Twitch's partner database, how do you get it to be a certain logo?
P.S. Thanks for letting my know about the original matter :)

you need to get partnered on twitch to get an option for a subscriber icon.
that one you have to make yourself. 

The icon will then be imported to sr.com.

But the first hurdle is twitch partner

If I am a twitch partner, how long does it take for my sub icon to appear next to my name? I've only been partnered for a week, but is there a way I can get that added?