My cleaner shrimps are always out with my Longnose Hawkfish. Usually the fact they they are 'cleaner' shrimp means that other fish will not go after them. My peppermint shrimp only come out at feeding, and once my hawk killed one, but he even lets the cleaner shrimp clean him!
90 Gallon Reef - 3 Blue-Green Chromis, 2 Ocellaris Clowns, 1 Kole Tang, 1 Midas Blenny, 1 Longnose Hawkfish, 1 Zebra Dartfish, 1 Algae Blenny, 1 Six-Line Wrasse
29 Biocube Reef - 1 Chalk Bass, 2 Black and White Clownfish, 1 Yellow Watchman Goby, 1 Fire Goby