Lime green is not likely cyanobacteria, though with a new tank it is probably coming soon. From my experience you will usually first get a brown daitom bloom followed shortly by the lime green algae, which is kind of almost as dusty as the brown algae, often on the rock, sand and glass. All of this is normal and will go away on its own over time. Windows with sunlight coming into the area of the tank can make it worst. A skimmer may help some.