When participants are allowed to pause answering a survey and resume at a later time, they receive an e-mail saying

"Thank you for saving your survey in progress. The following details can be used to return to this survey and continue where you left off. Please keep this e-mail for your reference – we cannot retrieve the password for you. [...]"

Is it possible to edit this E-Mail text, and if so, how? Where is the template to be found?

In the survey menu I cannot find anything: neither in "Text elements" or the "Email templates" nor in any other menu section.

Thanks for help!

Most probably this text comes from the language files --> see translate limesurvey...

In 5.X : you can use www.limesurvey.org/manual/BeforeSurveyEmail
type : savesurveydetails