I had crowns put on my incisors. I feel the back of the crowns with my tongue constantly! Should it be like this?

I had crowns put on my incisors (8 and 9). I can feel the back of the crowns with my tongue when it hits the roof of my mouth, which is constantly. Even when I speak certain words my tongue rubs against it. My dentist shaved them down a bit when he put the crowns in, but said he did not want to shave them down anymore. He said my real incisors underneath are shaved down too much and he is fearful they crowns will come off easily. Does this sound right? Any recommendations? Thanks!