How to get notified by eMail after someone edited his own webform submission?
Using Webform Rules (and Rules of course), it's a peace of cake to send an eMail using Rules Event "After a webform submission is updated". To actually do so, refer to the answer from CodeNext. However, the real challenge in this question here, is to address this part of the question: "someone edited his own submits". Read on for more details on how to implement that part of it.

Assumptions:


It should also work for "someone edited 'her' own submits".
The question is NOT about anonymous users (for that you might need things like IP address, session API, etc ... be my guest to also get that to work ...).


With these assumptions in mind, you'll need to have something in your webform available to store, as part of the submitted webform, the uid of the user who actually submitted the webform. I've not found (yet) any such data that is available as a token to Rules (you'll need it in Rules to get this challenge to work). So therefor I'd use an approach like adding an extra (hidden?) webform field that is automatically set (eg using Rules) when the webform is first submitted, let's say using a field with machine name field_webform_submitter_uid.

After all the above is in place and agreed about, you're in good shape to address the challenge "someone edited 'his/her' own submits": all you'd have to do is to further enhance the rule detailed in the prior answer, by adding an appropriate Rules Condition, to check if the uid of the currently logged in user matches field_webform_submitter_uid.

But, there is 1 more challenge to implement that extra Rules Condition: how should the Rules token look like for the value of field_webform_submitter_uid? To find the answer to this, refer to the README.txt of Webform Rules: based on what's documented there, the token to be used in that extra Rules Condition should be [data:field_webform_submitter_uid-value].

Voilà ...

Note (about the token for the uid of the user who submitted the webform): each submission has data like "submitted by" and "submitted on", however from all uid-variations I've experimented with, none of them contain the value that always matches the "submitted by" (not to be confused by tokens like node:author:uid, those are for sure not what matches the "submitted by"). To convince yourself, try a scenario where the user who submitted the webform is different from the one who edits that submission ...