Anytime you stick something in a bottle of CA it's like seeding clouds for rain or making a pearl in an oyster. The glue sticks to the tiniest of particles, which get bigger, and bigger, until it's a lump. Here are some hints.

Don't stick anything in the tip, ever. Slice it open with a razor and either replace the tip or slice it further back if it plugs.

You'll do better to leave the bottle uncapped at home (this one floors me). It will last longer, and will not plug up as the tips & caps are not of the same plastic as the bottle and the CA sticks to some. As long as you don't tip it over! I get the little, cheap CA pipettes and fill them and leave them open in 1/2" holes drilled in a block of wood. . . but admit I am too cowardly to leave a whole open bottle of CA around.

Refrigerate before opening if you don't need it right away.

I use ammonia for accelerator. Mist spraying plain old water in an accelerator spray bottle works, too. Some folks dissolve baking soda in the water (I think the base helps the speed).