I think you are confusing clarifier with conditioner (also called stabilizer). We use conditioner/stabilizer for CYA to protect the chlorine, but in a very specific ratio (depending on your pool setup) to keep from overdoing it on the CYA.
Clarifier is the liquid stuff that clumps up junk in the water to make it easier to filter out. Unfortunately, it also gums up your filter.
When you have cloudy but blue water, it is either about to turn green (algae bloom) or it has been green and you’ve super-shocked it (but have you really? It depends on your CYA level). If you don’t do the SLAM process, it will go green again. The cloudiness indicates that you haven’t defeated the algae yet.