I’m looking for a poetic word or expression that means making professional connections, lobbying, networking, socializing professionally.
League, circuit, club, society, and so on and so forth.
Is it schmooze you’re looking for?
Let me first say that limericks are also a form of poetry. In that spirit my answer is hobnob.
The first word that comes to mind is mingle.
I've been hearing more frequently the word politic used as a verb.
"Let's meet tomorrow and politic."