I only know of one instance of confirmed tattooing in Mesoamerica, but perhaps my flaired colleagues could also jump in and comment. That being said, here is the one case I know of.
In 1889, Mexican archaeologist Leopoldo Batres was contacted about the find of a “Toltec Mummy” in a cave near Santa María Camotlán, Oaxaca. Batres published an obscure illustrated paper on the discovery later that year, which partially depicted the geometric forearm tattoos of the individual. Some years later, the mummy found its way to the Trocadéro Ethnographic Museum in Paris.
Over the course of the following 123 years, the female mummy lay largely forgotten until 2012 when detailed studies of her body were finally conducted. Today, the mummy is housed in the collections of the Museé du quai Branly in Paris.
Remarkably, radiocarbon dating has shown that this individual dates to 250 A.D. Her arm tattoos are now known to be more extensive and complex that previously thought and are possibly related to Later Oaxacan (“Mixteca-Puebla”) scribal traditions. The “Toltec Mummy” provides the earliest firm evidence of tattooing in Mexico.
Hopefully additional studies (e.g., infrared photography, tattoo pigment research) of this unique individual will reveal more clues to the meanings behind her exquisite zoomorphic tattoos.
This drawing comes from an article titled 'Momias y tatuajes: Leopoldo batresy la "momiatolteca"' in the journal Arqueologia mexicana. This is a photograph I found on the web that shows one of the tattoos.