6.5 update seems to break the traditional tool like wl-paste --watch, with error indicating the wlroots data-control protocol support issues.
Here a DBus monitoring solution based on the internal KDE widget Klipper is shown. Make sure this widget is not disabled in the System Tray Settings.
To monitor the clipboard change through DBus, the CLI tool to use is dbus-monitor:
dbus-monitor "type='signal',interface='org.kde.klipper.klipper',member='clipboardHistoryUpdated'"
This will print a line to stdout every time the clipboard updates.
You can obtain the cliboard content either with wl-paste or using DBus with:
qdbus-qt6 org.kde.klipper /klipper getClipboardContents