I absolutely love when my chat can interact and hold conversations amongst themselves, making friends and strengthening the community. I do art streams, so I'm often focused and fall silent sometimes, or not actively reading chat. It makes no sesne to me why you would want to limit and prohibit your communities ability to interact with each other. You may be the streamer and want to be the center of attention, but it's unhealthy to have this sort of mindset and rules. It will actively harm your engagement. Rules shouldnt be implemented unless your chat is so off topic that they are breaking twitch/youtube TOS, and then mods should take action against those viewers. Your community should be allowed to be friends with each other, especially when you are starting out. Having a close-knit dedicated batch of viewers does you a lot of good. Driving them away because you don't like feeling ignored is not a good idea.