I'm not sure, but I think you may be able to switch it off by unchecking "receive your news feed" in
https://www.cyclechat.net/account/privacy
I could be totally wrong. I've never understood what the purpose of "following" someone is, so I've never tried it. On the privacy page I just switched everything off, and switched it back on if I understood what it was. Which meant most stayed off.
Edit. Or maybe set Receive your News Feed to "people you follow only".
I don't understand any of this stuff.