Irreconcilable differences are a common reason for divorce, and while there might be jokes around squeezing the toothpaste tube from the top or the bottom, it is a fact that the smallest things become huge issues in an incompatible relationship. (I have to admit that my husband of 32 years and I solved this one by using different brands). At work, it is as difficult as at home. Incompatibility is a rather vague description, because it is not easy to pin down exactly why two people simply do not get the best out of each other. In a boss /employee scenario, it may have a serious impact on productivity, as well as making one or both extremely unhappy. A junior person may even feel that he is being bullied. There is also the possibility that they actually get on well together but their work styles are so different that their deliverables are not being achieved, anyway. Years ago, I had a Services Manager who was a brilliant trainer of new software field consul...
Its just my opinion.... Sharing thoughts, experiences and insights on business issues (and a few personal ones too)