That looks like the codehelp debugging is enabled. In the SlickEdit command line, type in "set-var _chdebug 0", and see if that makes it stop popping up.
If that doesn't stop it, type "what-is" in the slickedit command line, press return, and then press the keys you use to invoke push references and see what command it says is bound to that key combination. It should be "push-ref". If it is "codehelp-trace-push-ref", that's the debugging version of push-ref, and that will do that logging as well.