Bring over wilds and knock them out in a area, whoever is riding the cat needs to get the essence bar full and then ur tribemate can help you kill or lower it's HP so the timber resets and u get that taming effective. On 1x taming in one hour i got it to 50%

Make sure the wilds u knockout have enough HP for the essence bar to fill up or it won't add much but it will reset the timer