UV works, but IMO it's just a time thing and tank establishment. trying to make it happen on it's own and forcing it out of whatever maturity cycle it's going through is not how I like to do things.
Sounds like it's a new tank, and possibly your first reef based on your questions?
I'd just let it do it's thing.
My 10G used to be super cloudy, all tanks are at the beginning. It's now the clearest water I've ever had in any tank... I don't know what chemically is occurring in this tank vs the others I've had in terms of clear water, but I just personally never run UV
With that said, some people noted above Carbon as a great clarifying agent. If you're not running any carbon do that before UV.