The requester pops up for file opening, saving, help, SelectDoc (F4), AutoComplete, and -- new in 3.2 -- on the command line when you hit ^F to select from your previous input responses.
What's different about it: in the past, it would use the longest string in the requester to set the one and only column width for the whole requester. In 3.2, each column on each page of the requester uses no more space than necessary for that column. So you get potentially more columns (and thus more selections) per page, and varying numbers of columns on each page.
Usually that's no big deal. But I'm currently working on a project that requires opening [checking...] 1252 files in one go. It's basically all the files in a git repository excluding the .git subdirectory. Before ne-2.3.0, F4 would give me 1 column (because of one particular file with a 111-character path). Now I get anywhere from 1 to 3 columns per page. It's now 13 pages instead of 27. Fewer pages means I can find the documents I need faster.