The Collaborative International Dictionary
Contenement \Con*ten"e*ment\ (k[o^]n*t[e^]n"[-e]*ment), n.
[Pref. con- + tenement.] (Law)
That which is held together with another thing; that which is
connected with a tenement, or thing holden, as a certain
quantity of land adjacent to a dwelling, and necessary to the
reputable enjoyment of the dwelling; appurtenance.
--Burrill.
Wiktionary
n. 1 That which is held together with another thing. 2 That which is connected with a tenement, or thing holden, as a certin quantity of land adjacent to a dwelling, and necessary to the reputable enjoyment of the dwelling.
Wikipedia
In old English law, contenement is that which is held together with another thing; that which is connected with a tenement, or thing held, such as a certain quantity of land adjacent to a dwelling, and necessary to the reputable enjoyment of the dwelling. This is also known as " appurtenance".
According to some legal authors, the term should signify the countenance, credit, or reputation a person has, with and by reason of his freehold. And in such sense it is used in the statute 1 Edw. III, etc., where it stands as synonymous with "countenance".