The following quote is from Sister Carrie by Theodore Dreiser:
In the past he had always commanded a certain amount of respect, which was a compound of appreciation and awe. The familiarity which in part still existed between himself and his daughter he had courted. As it was, it did not go beyond the light assumption of words. The TONE was always modest. Whatever had been, however, had lacked affection, and now he saw that he was losing track of their doings.
I'd like to know what "the light assumption of words" means in the above context. I could not find the apt definition of assumption in any dictionary I could lay my hand on.