I'm looking at the fish and I don't see anything specifically wrong with it. The tail doesn't look damaged or infected. If the white is due to an infection, it will likely keep going up the length of the fish and kill it. However, it's very much possible this color is normal. You may not have the fish species you think because several fish in the trade go by tribal blenny. It's also possible you have a juvenile color form and it will change to the adult color form in time.
I'd say that if the fish is eating normally, swimming normally, and shows no sigh of disease, just leave it alone. Above all don't panic and start treating it with anything, unless you see a specific problem.