I have been searching for this too. It's not that hard to do "git push --tags" in the console, but it would be nice if you could do this in GitLens, preferably automatically when pushing commits.
some tags functionality would be great, as in listing / searching / pushing. However, I guess it's not exactly a simple thing for usability, as you can push with --tags or with --follow-tags (which only works for annotated tags) and to generally distinguish annotated tags from simple tags.
Most helpful comment
I have been searching for this too. It's not that hard to do "git push --tags" in the console, but it would be nice if you could do this in GitLens, preferably automatically when pushing commits.