I've had some time to get used to the Undermountain class changes at least on my cleric and my rogue by now, and playing dps cleric isn't all that bad. I use the Arbiter dps specialisation most of the time, and once you figure out the rhythm it relies on, it actually plays pretty smoothly and might even be considered fun!
Unfortunately there has been no such redemption for the healing spec. I even looked up a guide and everything, to make sure I wasn't just doing it wrong, but even the guide writer admitted that the healing gameplay is pretty dull. Most of the time your rotation is basically ABABAB, with A being an AoE heal (so there isn't even any prioritising of targets going on) and B coming down to standing still to pray and regenerate your divinity resource. There is enough synergy there that you "only" have to spend about as much time praying as you spend casting, but that is frankly still too much. Plus the combination of just using a single heal most of the time that isn't even targeted is just boring as hell.
I always found the way Neverwinter didn't used to have any "real" healers a bit odd, but if you accepted that system for what it was it was fun. I'm not against the idea of having the classes play like a "proper" trinity now either, considering that this is what I enjoy in my other MMOs, but then Cryptic really needs to step it up and make the healing gameplay more interesting than alternating between quick bursts of spamming one ability and standing around praying. I hear that the next module is supposed to bring changes to the system, but I'll reserve judgement until I actually see how they play out.