By-and-by is a phrase that expresses a sense of delay or procrastination. There are many synonyms for this phrase that can be used to add variety and nuance to your writing. Some possible synonyms include "eventually," "gradually," "in due course," "in the fullness of time," "over time," "step by step," "procrastinatingly," "deferentially," "dilatorily," and "gradationally." Each of these words offers a slightly different shade of meaning, whether it's a sense of deliberate slowness or simply the idea that things will happen in their own time. By experimenting with different synonyms for by-and-by, you can bring a greater sense of texture and depth to your writing.