I rent 3.5 acres adjacent to my own land. I have an agreement, pay monthly rent, and among rules and regulations not to erect buildings, it does say if the owner wants the land back for herself she has to give me one months notice. I have been on there continually for 2 years now, and am surprised she did not have a clause saying I had to vacate the land for at least a day, so as not to gain full tenancy.
Quite a few people I know have to move their livestock off in winter, and some just for a couple of weeks.
To be honest, I think the owner was surprised to find goats and sheep on the land, and had assumed it was for horses. But it just states use by livestock in the agreement.