Be very careful when near the griffin. It's very aggressive, and the fastest flyer in the game. If you're a low level with only stone tools, then run like the wind( Try to get into water ). However, it's an amazing tame, so I suggest you should get it.
Please note the like megalanias,wild griffins are aggressive and get attacked by other carnivores,and does zero damage,so u won't hav to worry if a therizinosaurus kills it while taming it.(edit:zero damage to wild creatures)
Most amazing thing ever I was in the Wyvern cave with my griffin and I get knocked out by a Lightning Wyvern and fall into the water and barely escape I come back 2-3 days later and I find this guy wandering around looking for me I brought him/her (gender is n/a) back to base and renamed it mr.loyal (don’t judge me)