When you use Edit > Search > Find or Edit > Search > Replace , the search and/or replace terms you have used previously are stored and available in a drop down in the Find/Replace Dialog. This can be annoying at times, for instance when typing a new search term that starts with the same letter as a previous search term, but the first character is a different capitalization, it automatically switches the first character to the case of the previous search terms first character. Also, this could be a potentially an issue if you did not want to display previous search terms for privacy or confidentiality reasons.
It would be nice to add:
1) a preference to allow to not store that history
2) an option to delete the find/replace history
3) an option to retain but not use the find/replace history in the Search/Replace dialog
4) an option to not overwrite the case of new search term that is entered manually
I don't think this is in the JMP Documentation, but you can remove that search history manually by deleting this file in Windows
C:\Users\<UserID>\AppData\Roaming\SAS\JMP\16\FindMRU.txt
and this simple script will remove that file
names default to here(1);
// remove previous search and replace history
fname = "FindMRU.txt";
fpath = Get Path Variable("$USER_APPDATA");
if(File Exists(fpath || fname),
Delete File(fpath || fname)
);