Reading the example makes me think this phrase comes with the connotation of cowardice and opportunism. At first I thought of a tendency I often have, which is to unconsciously mimic the manner of speech of the company that I'm in, but I think that's something completely different—more varied, more benign, and perhaps with its own term.

As an aside, cow tongues feel so neat. Everyone should get licked by a cow at lest once.