Mounting Toilet Paper Holder

"I'd also like to be able to remove it in the future without leaving a mark."

Yes! Very likely the next owner wouldn't need a....TP holder!

I mounted the TP holder on the inside of the vanity door. The TP hangs out the bottom or over the door. Out of the way, stays dry and no damage.

Mount the TP hanger on a piece of wood (1/4) ply or some scrap and then use these Velcro strips to adhere to cabinet.

http://www.command.com/3M/en_US/command/products/~/Command-Black-Large-Picture-Hanging-Strips?N=5924736+3294529207+3294737309&rt=rud

I keep the TP on the vanity

Also 2 sided 3M tape...comes in different strengths (rated by holding pounds). Home Depot, etc.

Or a free standing TP dispenser...lots of different styles....here is one that even holds paper towels, others have an integrated waste basket..

You can use the strips to attach pretty much anything with a flat back to the wall. Find a TP holder with a flat mounting, or perhaps more simply mount any old one on a piece of thin plywood or whatever, and put that on the wall with the command strips.

If you can reach the other side of the cabinet wall from inside the cabinet or whatever, you might be able to rig something up using rare earth magnets to clamp it to the cabinet.

I used a 3M Command hook and a short length of paracord... TP hangs on the hook behind the head.

Command Hooks. They don't just make hooks. They have a bunch of products that I use around my RV for putting things on the walls. Simple, plain adhesive strips to various strengths and sizes of "velcro" style pieces.

Everything on the walls of my coach, from large pictures and mirrors to thermometers, hand towel holders, etc. are mounted with 3M Command products (not just hooks anylonger).