Despite all of the drama, it currently doesn't look like LILHUDDY is leaving the Hype House. Since most of the people he exposed in his tweet are (or were) in the Sway House, and Charli has already made her departure from the Hype House, it would seem his place in the house is safe for now.

That being said, before Chase dished on the Sway House members, there were rumors that the two houses were considering joining forces to become the Swype House. Given that Chase has successfully alienated most of the group's members, it's probably safe to say that the two houses will remain separate for now. 

The only foreseeable way for the Swype House to become a reality would be if Chase left the Hype House first.