In all the literature I've come across there are many concrete interpretations of the first few Hochschild Cohomology groups. For example $HH^1(A,M)\cong Derivation/Inner Derivations$ etc....
In contrast I have only ever seen the $0^{th}$ Hochschild homology groups' interpretation....
My question is are the other interpretations of $HH_1(A,M)$, $HH_2(A,M)$,... known? If so what are they and where can these papers be found?