One eye open.
Those who choose this perk do not lose their dexterity bonus to AC when sleeping, but do not gain the full benefit of hp/mana/move recovery.
New perk
Interesting. I would have said no way right off the bat because certain classes (i.e. thieves) need that ac drop, but that reduced healing is a pretty hefty counterbalance.
An ogre zerk wouldn't even feel it 
if it takes away a % of the regen, and not a certain amount for all combos, then the ogre zerk would feel it too. I like it.
if it takes away a % of the regen' date=' and not a certain amount for all combos, then the ogre zerk would feel it too. I like it.[/quote']
Well, a sleeping Ogre doesn't lose that much AC anyway due to their lowish dex to make it being worthwhile losing a percentage of their huge regen. It'd be of use to the high-dex races that lose a lot of AC whilst asleep, but even then high dex races generally have lower con anyway, and this would reduce that further (I think - do the lower-con/lower health races not heal as fast?).
Interesting idea, not sure what I think of it though. I don't think I'd ever pick it if it was a perk.
Dey
Lower con does go with less hp regen.
First-I hate this idea.
Second-If this did get implimented, there should be no way to close both of your eyes and get good sleep.
It's not closing both eye, it's sleeping with one eye open. Sort of like what dogs do, they can 'sleep' whilst still being sort of aware of their surroundings.
Or something. I don't claim to be an animal expert. 
Dey
Dey is only an expert when it comes to inflatable sheep.
Yeah, he was probably thinking of sheep that do that, not dogs.
So...you want something like vigil for sleep?