The Longnose Hawkfish is reef-safe. It will eat almost anything you drop in the tank, food-wise. It will also eat visible bristleworms, and I've had one for years. It grew to be about 4.5" long before it died a year ago. It was housed with cleaner shrimp, a Coral Banded Shrimp, Peppermint Shrimp, Porcelain Crabs, etc... never even looked at them.
I got a new one in January of this year, and it was with a Blood Shrimp, Cleaner Shrimp, Peppermint Shrimp, and Harlequin Shrimp. Again, no issues at all.
I've read that some jump out of the tank, but I've never seen that type of behavior in my tanks. They lack a swim bladder, which is why the jet about the tank and perch on anything. Pumps, cleaning magnet, even parked against the glass, they are very cute. They can stand on a mushroom, but also seem to enjoy standing up against the side of stalk-like corals (Toadstool, Colt, Kenya Trees). Mine sleeps in an Acropora colony at night.