From what they write and the screenshots, Clearview looks like a selective local contrast adjustment process, i.e. they analyze the "haziness" of the image areas and increase the local contrast (similar to "clarity" slider) of the haziest parts while leaving alone the non-hazy parts (because increasing
their local contrast would make the image look too fake-HDR like).
The simple LAB adjustment mentioned has nothing to do with this. It's used to adjust the
global contrast of the image and would screw up the non-hazy image parts in this case (i.e. make them too contrasty).
I haven't tried this Clearview stuff from DxO, but I'd expect it to work great on some hand-picked pictures and not-so-great on a lot of others, depending how closely they resemble the idealized conditions for which this tool was created...