Have to say, when I tried the CLA stuff I preferred LA2A first and 1176 after that, with the LA2A doing the main compression and the 1176 pushing back the unwanted stuff that the LA2A was too slow for.
It seems most people prefer it the other way, because supposedly the 1176 is better at chopping off large peaks, and then the 2A can smooth it out from there without having to work too hard.