Defining an (n+1)-ary superposition operation $S^n$ on the set $W_{\tau }\left(X_n\right)$ of all n-ary terms of type τ, one obtains an algebra $n-clone\tau :=(W_{\tau }\left(X_n\right);S^n,x_1,...,x_n)$ of type (n+1,0,...,0). The algebra n-clone τ is free in the variety of all Menger algebras ([9]). Using the operation $S^n$ there are different possibilities to define binary associative operations on the set $W_{\tau }\left(X_n\right)$ and on the cartesian power $W_{\tau }{\left(X_n\right)}^n$. In this paper we study idempotent and regular elements as well as Green’s relations in semigroups of terms with these binary associative operations...