Peanut butter wax tags (at least at Macraes) are attractive to a variety of invertebrates (weta, crickets/grasshopers, caterpillars and perhaps others). These can remove large amounts of material, and leave markings that are hard to distinguish, with the naked eye, from mouse chew. Magnification reveals the lack of distinctive twin incisors, and with practice you can differentiate with the naked eye after a bit of squiniting and staring most of the time.
Two problems:
Not quick and easy to check.
May lose rodent sign if the inverts turn up afterwards, if tags are left out long term.