2017-Jun-21 Update:
DYMO has published a fix:
http://developers.dymo.com/2017/05/30/new-dls-8-released-this-fixes-security-certificate-issue-for-windows/
Use the "Windows Download link" to get the relevant version of the DYMO software. NOTE: the standard download location does not yet have this version.
Previous Post:
The latest version of Chrome has exposed a weakness in DYMO's direct printing. For the details, read here:
http://developers.dymo.com/2017/05/04/google-chrome-not-secure-warning-fix-is-on-the-way/
A work-around is to use the following setting:
chrome://flags/#allow-insecure-localhost
Update: we discovered an unfortunate side-effect of using this setting is that valid https sites might show certificate errors.