Tube cleaning - tips please

[Bonefixer]

I’m in the process of servicing (restoring really) an old chronograph with a Landeron 48 movement, the second one of these I’ve done so I vaguely know what I’m doing. 
 

This one was so gunked up with old oil (picture) that had turned into a wax substance that it wouldn’t move - spring fully wound, pallet fork out, still seized until I started taking bits off then it started running down. (I tried letting the power down in the usual way - didn’t work)

I cleaned it all, rebuilt the base movement and it ran! Then put the chrono bits on and it stopped as soon as I engaged the chrono wheel. Turns out there was still a plug of goo down the centre tube. 
 

I dismantled, soaked the centre wheel in Renata Essence and put it in the ultrasonic. I poked the tube with a fine oiler and got some gunk out. I tried a bit of dental floss but couldn’t get it through. Finally ran it through the Elma again, and now it runs. 
 

What do you proper watchmaker guys do to clean a tube that is literally plugged?

[Malocchio]

I'm not familiar with that part but I clean cannon pinions with ipa and a sharpened cocktail stick. I usually prefer cocktail sticks to peg wood when a sharp point is needed because they are harder.

[AndyGSi]

Compressed air in a can works well.