There is a narrow class of uses of language where you intend to communicate. Communication refers to an effort to get people to understand what one means. And that, certainly, is one use of language and a social use of it. But I don't think it is the only social use of language. Nor are social uses the only uses of language.

Chomsky on Democracy and Education (ed. Psychology Press, 2003) - ISBN: 9780415926317