moisture is what causes whiteness like that. I've never used it as a finish but I work with plastics including cyanoacrylate for a living, particularly ones dissolved in solvents. breathing on it like what has been mentioned is bad but also moisture in the air can cause it as well as moisture on your work surface and probably even moist wood.
keep it in as dry an environment as you can while drying and make sure the surface of what you are gluing is dry as well. I would recommend using it under a warm lamp if you keep having whiteness problems. you don't need a crazy hot heat lamp, just a good warm bulb. if you do use a heat lamp make sure its not too hot or too close, you can get bubbles if you draw the solvent out of a solution like that too quickly. but "too hot" is a relative term, it is totally dependent on what you are drying, the solvent/solute ratio, thickness of the coating and especially how volatile the solvent is. cyanoacrylate glue uses a very volatile solvent so it doesn't need much heat.
also be careful of using heat guns or hair dryers, the moving air causes streaks, especially before the surface has dried out a bit and become more viscous.
at work I dry everything in either a low temperature laminar flow oven or a simple drying box you can make out of acrylic or lined with sheet metal (you can use wood lined with tinfoil if it doesn't get too hot) you just need to ventilate it with a small fan and dryer ducting. the light fixture is just one of those aluminum clip on dish lights stuck on the back (just cut out an appropriate sized hole), when I build them I usually just drill a few small holes in the box and fixture and zip tie them together. this should keep everything dry and warm, great for any paint, rubber coating etc. if you want an adjustable heat source attach a dimmer switch. just remember to monitor your temp if you use a high wattage bulb.
