Ultra minimalist toothpaste squeezer design that's plenty strong! Works great for other things like facewash, lotion, etc.
Measure the width of your tube at the end to make sure you choose the right size (there are 4 to choose from currently), the size in the filename is the width of the opening. Or, don't be picky and just print a larger size than you think you need (70mm would be plenty wide for most toothpaste tubes).

As you can see, it does a great job at squeezing it nice and flush:

The squeezing mechanism is based on @makeplace's Paste Pusher Animals design on Thingiverse.
Keep this print simple - 0.28 layer height worked great for me with 5 walls - it prints very quickly this way by avoiding infill (and adds strength from the walls). Feeling fancy? The top surface looks great with ironing. If you use less walls, a concentric bottom layer looks good too.
Expect only 10-15 minutes depending on the size and your settings.
I currently have 4 sizes prepared. Maybe someday I'll add a ton of sizes in between so that you can get a sleek fit for your needs. But for now please shoot me a message here and I'm happy to resize it to your specs (it only takes a couple of minutes).
60mm and 62mm both worked well for toothpaste. 80mm worked well for my wife's facewash.
Interested in the same mechanism but something more fun? My kids love my Totoro toothpaste squeezer design:

The author hasn't provided the model origin yet.