As I have seen here so far, many use a mesh or perforated bottom and have a removable tray underneath to collect water and dispose of it easily.
A solution I used with geckos, if the dripping is very slow, was a big bromelia in a pot, with a fat layer of rocks or plant balls (clay?) at the bottom of the pot. those plants like water in their middle "tube" part, and that water is easily emptied in the evening to avoid bacteria. you can shower them a lot, to clean them, and they can survive even without soil, as they are epiphytes.
As long as they get some light and are not in the dark, they will like it, and replacements are usually inexpensive for common species.