Since I moved to a japanese-styled toilet, I needed a towel to be reached out easily.. So here it is. With this combo, paper toilet is -has been-. 

Theoretically, you could add another rod (or 2 ?) to make it longer and handle larger towels, as every rod is Male & Female, but I didn't try this, maybe it will be too weak on the center. To be tested. You have the CAD parts so you can modify the length of the rods' thread as you wish. 

Mountable on a wall with 4 M4 screws, at least 15 mm long I'd say. I took M4x20. 


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Technical info : 

PLA + recommended, PLA is fine
0.16 mm layer height recommended, 0.2 maximum
60 % infill should be ok, 80 % to be really safe

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Other info :

This towel handler is pretty tough, despite it may shows the opposite on the pictures : I didn't fill my printer with a good filament. Also, the hole in the bracket 1 (for the cap to go) may be a bit undersized, there is a 0.5 mm difference with the cap. Was some trouble for me, I had to sand the bracket, but I figure it depends on your printers, so I keep the file like that. If you have issues about it, I'll appreciate any feedback! 
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[EDIT]
Don't rely on this large printing time, it could be drastically reduced (maybe to 7/8 hours or less) with an optimised firmware such as Klipper. Available info is provided according to raw Marlin. 

Have a good printing :)