I first read this book around 1983-1985 (no actual idea of when it was first printed), and, while I can't remember all that much from the book itself (other than enjoyable), I do remember the cover of the book. The cover prominently featured and depicted a robot, silver in color, sitting down (maybe in a field of some sort?), drinking a cup of tea in a very posh 'pinky extended' fashion.
I've brought this fact up to friends, who have also read the book (and who are also trying to remember the book), and they always come back with 'Douglas Adam's: The Long Dark Teatime of the Soul.' I am pretty sure this is not correct, for a quick GIS of that book, shows no covers bearing what I remember.
A small, small part of me, thinks it was a Heinlein book, but, none of the covers look familiar, I imagine it's possible the changed cover on a re-print, but, none of the titles stick out to me either.
Any help, and all the internets to you, if you find this book!