0 a situation in which two or more people have very different characters and are unable to have a good relationship with each other: --
There's a real personality clash between two of the directors.
A high percentage of them involve personality clashes.
This would have produced any personality clashes there might have been.
Some antagonism involved personality clashes.
Institutional rivalry was also a reflection of personality clashes at the highest levels.
But soon he left the organization due to personality clash with the few members of organization.
Reassigned to fighters after additional training, he was sent to a unit commanded by an officer with whom he had a personality clash.
Conflicts can be due to personality clash (relationship conflict) or differences of opinion about tasks (task conflict).
I can see that there might be a clash or a differing of opinions and possibly a personality clash.