The word cleeve is generally thought to relate to the way a valley is formed, so it’s a geographical term. So a Cleeve is a wooded valley. How it relates to a Bishop is unknown, could be a favourite walk of the Bishop or possibly a parade through the area by religious people.
Can also mean the dark area between a barmaids full bosom, but this is conjecture.
Another place name meaning, I like the idea that a Bishop would go walking in full regalia through a wooded valley. As you can see from the map here it’s near Woodmancote so my theory about a wooded valley holds weight.