"Animal May-Ham" isn't a real Magic: The Gathering keyword or ability—it appears to be either a made-up term or a mishearing of something else. There's no such mechanic in the official rules or any printed card.
If you're thinking of a real ability, a few possibilities come to mind: you might mean a card name involving animals, or perhaps you're combining concepts. Magic has plenty of animal-themed tribal synergies (Cats, Wolves, Dinosaurs, etc.), but none use this phrasing.
If you can point me to the actual card or context where you saw this, I can give you an accurate explanation. I'd rather not invent rules for a nonexistent ability, since that would just mislead you at the table. What card or effect were you actually looking at?