Summary: I'd like to create a puzzle which also instils a sense of the 'Cryptic Clue Chat Chains (CCCC)' used in The Sphinx's Lair chatroom on this site. Before I do, I would like to be sure that it fits within the scope of the site.
Idea: To create a puzzle within a particular theme where the answer is a single thematic word that must be identified (in the example I have in mind, the answer will be the name of a board game, for example). The person who posts the correct answer does so with the understanding that they must then have the opportunity to create the next puzzle in the series (to a similar specification), using the solution word as creative inspiration.
Why? I enjoy series of puzzles (you might have realised that already) but nowhere that I can find is there a truly successful series of puzzles created by multiple users. Usually, a series is created by an individual, sometimes with 'tribute' spin-off puzzles created by others unofficially. While the community's Fortnightly Topic Challenge puzzles are a fantastic way to get a lot of users involved in creating related puzzles, a Chain Puzzle adds a slightly different angle - that thrill/fear (delete as appropriate) that if you solve it, you're next. This is part of what makes the CCCC an interesting contest (if everybody just peppered the chat feed with their own cryptics without this structure, the room would be inundated and people would likely lose interest).
Suggestions: To prevent such a thing from going stale or lingering forever, I propose that a 'Chain Puzzle' chain (as I would suggest calling them) ends after the tenth puzzle in the series (i.e. Puzzle #10 is the last in the chain). I would also suggest each puzzle contains a very clear block of text explaining that if you solve it you set the next one, and that we add a chain-puzzle tag to enable other puzzles of this type to be found easily. Moreover, if a specified period of time elapses between puzzles (e.g. a month) the user who originally started the chain is responsible for engaging with the user who is supposed to be providing the puzzle and inquiring if this is an obligation they are able to fulfil - if not, then either (i) they close off the puzzle chain formally, or (ii) they create the next puzzle themselves to reignite the chain until the limit of ten puzzles is reached.
I am aware that 'interactivity' is not always considered a good thing on PSE - specifically, puzzles which involve adding new parts as previous ones are solved have been discussed before on meta and outlawed. But the idea behind my proposal here is more a combination of the ethos behind CCCC and Fortnightly Topic Challenge puzzles, which have both been received well by the community and involve interactivity in a sense that is external to any specific puzzle. So...
Question: Is there anything within the scope of PSE that would outlaw the 'Chain Puzzle' type of puzzle? Moreover, are there any other issues that can be perceived here, which I have not already mentioned above? If so, please make suggestions as to how these can be overcome (and feel free to comment on my other points made above).
EDIT: After discussions in comments below (and elsewhere), it has been clarified that the solver of one puzzle is under no obligation to create the next puzzle in the chain, and instead has first refusal to do so. Action to prevent chains ending when a solver prefers not to create the next puzzle is suggested in the main answer to this post.