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Also, I'm going to guess that you're playing an Irish tribal chief and you granted a province to one of your bishops. That makes the bishop the same tier as you, a count. Since he is now the same tier, he will not be your vassal. You cannot vassalize anyone of the same tier.
If you are a duke (or high chief in your case), you can grant provinces and whoever you grant them to will remain your vassal. However, it's not a good idea to grant them to a bishop because they're a different government type and you would only do so if you wanted to help the bishop become the pope (in which case he would also no longer be your vassal).
If you grant someone a title of your own tier, they will become independent.
If you give out titles lower than yours, they will stay your vassal.
http://www.ckiiwiki.com/Vassals#Landed_titles
The reason you wouldn't want to give your vassals landed titles is they might rebel against you if they dislike you and are strong enough.
If you wanna ensure you don't get a rogue dynasty in your empire, grant people viceroy kingdoms (requires a law change as an empire, invest in legalism) that means the kingdom will revert back to you upon their death.