I agree with Cat.
Anytime anyone purchased a tang in our store, we would always recommend at least a cleaner shrimp if the customer didn't have one. Again, providing there were no predators in the tank. Tangs are known to stress, break out with ich and well, you know the story.
As for the cleaner wrasse, some people don't like them. They are known for being a short lived fish, but at the store, we had some customers whose cleaner wrasse had no problems at all. IMO, for the cost of the cleaner wrasse verses a total ick outbreak, for my money, its worth the money for the cleaner wrasse in addition to the cleaner shrimp. If/when the cleaner wrasse dies, you either remove the body, or the clean up crew will take care of the remains in no time at all. Depending on the size of your tank, of course.
It's awesome to watch the cleaner wrasse work on the fish, and how the fish allow, in fact, invite the wrasse to clean them
Long short, at least a cleaner shrimp.
BTW
We had a customer bring in his
Purple Tang, just didn't want him any more. The Purple Tang had califlower (?) on the lower 1/4 of his body. We put him in with 3
cleaner wrasses, and within 2 weeks, the califlower was completely gone.