Ok heres my .02
Make sure the cbs is smaller than the cleaner. I have a cbs who is huge! and I also have a good size cleaner shrimp in the tank with him and they do alright. The cbs does not tolerate the cleaner being in his way though. Just make sure the cleaner has enough outs no matter what happens. Keeping everyone well fed is also a good idea. These 2 are together in a mixed 37g reef with a 10 inch serpent, emerald crab etc etc. Good luck!
3' fine sand bed 1x Orange Stripe Prawn shrimp goby, 1x sixline wrassemated pair of true percula clowns, 1x CBS shrimp, 2x peppermint shrimp, 1x pistol shrimp, 1x tiger tale cuke
, ~20+ snails, ~10+ hermits, 1xserpent star.
green Bubble coral, hammer coral (8 heads!) ,various Zoos,green finger leather, green star polpys ,shrooms
175w 10k MH
28w actinic 03
2x maxi jett 1200
Prizm skimmer (modded)
Hagen powerfilter(for running carbon 24/7)
nano arctica chiller