From optimal8538 @ Mocreatures Awakened Discord server:

So whenever I try to ride an elephant I tamed and put a saddle on already, I crouch in order to be able to ride it, I right click it, and it works, but immediately takes me off the elephant, and no matter how many times I try and mount my elelphant, it keeps taking me off?

Needs verification.

Reproduced: Not a bug, just immediate dismounting because the player still crouched when mounting. Crouching is only necessary until the elephant kneels.
Can be slightly off-putting, maybe implement a short dismounting cooldown after initial mounting.