By default, when a user edits a term in View or Add Terms, all its corresponding translations get marked as fuzzy, signaling to translators that they need to be revised.
This is due to the Set translation as fuzzy option, which is selected automatically when saving the term, and which becomes visibile under the term, when you click to edit it.

If you want to keep track of edited strings in the Default Reference Language, you have more than one option: https://poeditor.com/kb/how-to-keep-track-of-strings-changed-in-the-default-reference-language

Yep it would be REALLY USEFUL.
If the admin of the project doesn't tell me there are modified entries I wouldn't know! Something I do a search and see than some entries were modified and my translation is no more good. It should be included in the Updated DESC filter, when the admin or the translator modifies the entry.

There's no way to see the most recently edited terms.
This is possible only for translations, using the Updated DESC filter at the top of the language page: https://poeditor.com/kb/how-to-filter-strings-localization-project