UPDATE by Jeremy Dover
This question seems to have hit the point of inertia with no significant objection, other than the practicality of retagging several hundred old posts. I have gone ahead and created an [affix-riddle] tag, and applied it to the (as of 30 Sept 2020) recent active examples. Hopefully folks who author these riddles will use this tag in addition to the more generic [riddle] tag in the future.
Lately I've seen a large profusion of word puzzles on this site that go like this:
My prefix is , My infix is , My suffix is , My whole is 
where the goal is to figure out what word the user is talking about.
Example, Example, Example, Example, Example, Example, and there are many more from this week alone and going back for several years. They are usually categorized under the word, wordplay lateral-thinking or riddle tags as a catch-all.
Previous discussion of this point
This meta question was posted by @Riley two years ago:
The OP was proposing that these puzzles have their own tag. The final consensus, succinctly put by @Alconja, was no, because there wasn't a strong enough trend to justify it. There were some arguments against, however, specifically by @Bass, who argued for giving them their own tag and calling them "Riley riddles." But that never happened.
However, that was two years ago. Since then, I think there is now a strong enough trend to justify doing this. This puzzle type has become so common on the site that I propose, again, that we give them their own special name and tag category.
Thus, since it has been two years and there is now a strong trend and hundreds of examples of this type of puzzle, I would like to reopen the discussion. Should these types of "prefix-infix-suffix" puzzles have their own specific name, tag and category of puzzle, owing to their popularity and how many there are on this site? All opinions on this point are welcome.