Refers to an assistance-related question --- either a request for a favor or an offer to provide help yourself --- regarding a slightly "cranky" subject dat da person whom you're approaching might otherwise feel annoyed/embarrassed to be queried about; you therefore "soften the blow" by humorously "packaging" your question as a knock-knock joke, and using da first name of dat geeky-lookin' Prez wif da round-rimmed spectacles as da name of da "visitor" in da joke.
Here are da two “classic” ways dat ya would smilingly employ da “pince-nez president poser” to hopefully lessen da distress dat your listener would likely feel to be asked said question:
To ask da person for his assistance:
“Knock, knock…”
”Who’s there?”
“Woodrow!!!”
”Woodrow, who?”
“Woodrow be reasonably able to ___ for me sometime in da next few days?”
Or to offer da person your own assistance:
“Knock, knock…”
”Who’s there?”
“Woodrow!!!”
”Woodrow, who?”
“Woodrow like me to ___ for you occasionally, if it’s reasonably convenient for both of us?”