One neighborhood in Montreal is trying to resist gentrification by limiting the number of restaurants.

I don't think there is a human right to run a restaurant, so if this measure succeeds I will give my congratulations.

However, in the long term the ways to prevent gentrification are to reduce economic inequality, allow increased density of housing construction, and provide more opportunity for work (or at least prosperity) outside the centers of cities. Reducing population growth can help, too.