The right of an owner or a person legally in possession to the use of property without interference of possession?

Quiet Enjoyment

Explanation:

Based on the information provided within the question it can be said that the term being described would be called Quiet Enjoyment. This, like mentioned in the question, refers to a promise that a grantee or tenant of a real estate property will be able to possess the estate in peace, and without being disturbed or interfered with by hostile claimants.