After upgrading to macOS Microsoft Remote Desktop 10.9.0, copy clipboard from remote to local no longer works. Was fine in 10.8.4
Downloading 10.8.4 from the "beta" site as a workaround, though it keeps a separate config so I had to re-enter machine details for my remotes.
https://install.appcenter.ms/orgs/rdmacios-k2vy/apps/microsoft-remote-desktop-for-mac/distribution_groups/all-users-of-microsoft-remote-desktop-for-mac