Have had my Amazon card now for 3.5 months and exactly 30 days ago I clicked love button and received a $1000 dollar increase for a total of $3200.
This was just before they changed the cli screen to allow you to ask for want you want the credit limit to be. Seeing on the forums that they changed it recently to allow you to request what you want, I decided that I'd give it another whirl thinking there's no way they'd approve it since it's been only 30 days since my increase.
I went a little conservative and asked for 8000 cl. Came back approved for $6000 cl for a total of 2800 increase. Not bad for a card that's only 3.5 months old.
Thinking they run it like the Wal-Mart card because I was stuck for years at 6000 with that card. Knowing I could only go higher by calling in if I wanted more.
So anyone that hasn't tried for an increase since they changed the cli process might be able to get additional credit.
Happy hunting.