Having bearing on is an essential aspect of language. It helps in making your writing more diverse and not repetitive. Some synonyms for having bearing on include relevance, significance, importance, impact, influence, connection, relation, correlation, and pertinence. When using these synonyms, you can add more depth and dimension to your writing, thereby making it more interesting and informative to the reader. By choosing the appropriate synonym in your writing, you can convey your message more effectively and precisely. So, the next time you want to use the term having bearing on, remember to experiment with synonyms to make your writing more lively and engaging.