How fast is quick?
You may want to consider Titebond Speed Set or Titebond Quick & Thick. They both have short working times. For the projects I make, these are too fast.
I only use CA glue for specific purposes due to its expense, short shelf life, and safety issues. After throwing out several bottles of CA glue, I now only use the small tubes sold at Harbor Freight. I open the tube, use it, and throw the remainder away.