Alright, let's get serious. I need a household glue that WORKS and won't dry up and won't clog up the tip

[Filliam H. Muffman]

If the plastic is clean, Gorilla Glue can work. It is a little different in that it is activated with water. Keep moisture out and a bottle can stay good for years.

Epoxy is a little overkill but it can work. I have had problems trying to use plastic model glue on random "plastic" parts. There are several types of plastics. Solvent type glues for one plastic do not work at all on other types.