I know that technically, this question should be asked on phpStorm's forums, but being a popular IDE (I bet an eventual solution would also work for other popular IDEs from JetBrains), I'm thinking:
If there is any need of context: I accidentally switched the connection type of a saved connection from ftp
to local folder
and when I switched back, the saved credentials were gone.
The question: Can I retrieve the saved password...
I know this is a 1 year old question, but for everyone else, you can try to copy the selected (hidden) password with CTRL+C, and paste it in a text document (tested with 2016.3 on Debian).