Yes, Redline Cleaner Shrimp are considered reef safe, meaning they will not harm corals or most other invertebrates in a reef tank; they are often recommended for reef aquariums due to their cleaning behavior, where they actively remove parasites and dead tissue from fish by setting up cleaning stations on live rock or coral outcroppings. 
Key points about Redline Cleaner Shrimp:
Peaceful temperament:
They are peaceful creatures and generally won't bother other tank inhabitants. 
Cleaning behavior:
Their primary diet consists of parasites and dead tissue from fish, making them beneficial for keeping a clean reef tank. 
Appearance:
They are easily identifiable by their distinct red stripes running along their body. 
Important consideration:
While considered reef safe, some very large or aggressive fish may still view them as prey.