Cleanse is getting an 8 second cooldown, but will dispel all magic (for Holy), poison, and disease debuffs on a target. So basically cleansing multiple targets becomes a lot harder, and there's a window between cleanses where a debuff can do damage. But at the same time, you only need to spend one GCD to wipe away all debuffs. It's an interesting trade-off and it will be intriguing to see how this plays out.
For example, in PvE, you might have a boss toss out exactly two debuffs at the same time. Then you have to triage and pick one to cleanse and one to heal. It should make debuff management more interesting.
One nice touch is that if you Cleanse someone without any debuffs, it does not invoke the cooldown. So you can quickly recover from a Cleanse error, the error only costs you mana and a GCD. Good work by the Blizz team to put this in.
Holy Radiance has changed too. Instead of putting a short HoT on people, it instead heals the target for a certain amount, and heals people around the target for half that. If the target is healed for 1000, everyone around her is healed for 500 each.
One thing about the old version is that if you cast it twice in a row on the same target, the HoT did not stack, so you lost a lot of the healing. But if you cast it on different targets, the HoT would stack. So the optimum way to use Holy Radiance was to rotate your target. If you did not know exactly how the HoTs stacked, you might have been far less effective with your Holy Radiance.
The new version also encourages you to switch targets, but it's a lot more forgiving if you cast it on the same person. For example, if Anna and Beth have both lost 1500 health, and you cast HR for 1000 on Anna twice, Anna is healed for 1500 (500 overheal) and Beth is healed for 1000. But if you switch targets, both are healed for 1500. Switching targets is better, but casting twice is not as bad, you only overhealed a little bit, and not as much as you would have with the old HR. In fact, if both targets had been at lower health, you wouldn't have any wasted healing at all.
I really like the new design of Holy Radiance. It accomplishes the same goal of rotating your target as the previous version, but in a far more obvious and elegant manner. Excellent work by the class design team.