How much oil comes out of those smaller goldenrods at a time? Like this one, for example:
I have a
Titan Tools 15200 Precision Oiler. It works pretty well, but I use mineral oil in it, and it can be slooow to ooze down the needle and drip out. A lighter machine oil would be better. It doesn't leak, but it also doesn't hold as much as I'd like. I probably just need a larger oiler, is all.
For occasional use, I've found that a small medical syringe is great for very precise application of oil or glue. They won't hold up to heavy use, though, particularly with very viscous stuff like wood glue. But when you need to put just a squirt of glue in a tiny crack, they're indispensable.