It's a bug. I tried dodging and it worked. Dodging hasn't been removed. What I experienced was just a bug.
1. I went into a blind game of summoner's rift
2 Very quickly, within a few seconds, I immediately closed the client by pressing x on it.
3. Immediately after closing the client, I open the client back up, login to my account again and I am in the champion select screen again, as if I didn't close the client.
That's what I did, though I don't know if there's anything else that I did to trigger it.