Somewhere between "not that much" and "every day."
I do turn on the game every day to tuck a Pokemon into the Dream World, and then I'll go and water my berries, but I don't play Pokemon very much anymore aside from that. I just feel like there's not much to do anymore, and I want to play other games instead.
NO MORE HOME ROWED BECAUSE I'M A GOOD GIRL so drag me down to the ocean floor, 'cause i don't wanna fight no more
I feel like "More than I should" should be an option here.
I dunno, I tend to go through pretty big bursts of playing it vs. not playing it. Usually I just make sure all of my games have the teams I want set up in them, and then making sure those teams are strong enough to easily take down the elite 4.
I often start games over though, so this takes longer than you'd think.
Right now only about 6 of my games are at this point (out of 15)
Don't forget to check out my MegaTen themed webcomics at http://www.drunkduck.com/user/Strain42/ (Currently Updating: Persona 4TW Add-On M-F)
Not that much really. I usually buy both games, play one and finish it in a week or so, start the next one about a month afterwards, then there's the wait for the third version/sequel. Then after those I'm dormant until next gen.