Ive got a broken neck, or have I?

[Guitarmonkey]

also, you want to be controlled with the glue - very hard to do if you are tipping the bottle over the repair - much better to use a small pipette or a cocktail stick where you have more control over the amount of glue you are using

You can get thin nozzles for use with the LV CA glues that allow good control over where it goes.