Will my gums grow back after putting crowns on my front teeth?

4 days ago i got 4 crowns on the upper front teeth and after "glueing" the crowns, my dentist started very brutally with his tools to clean the rest of the cement, which went inbetween my teeth. This left me with destroyed gums and a small gap inbetween my front teeth. Not only that this is an aesthetic problem, but there is also sometimes air or saliva going through this gap while speaking, which annoys me a lot. The gap is small (around 1-2mm), but still visible when you come close to my teeth