"House," as a verb to mean "steal" esp. when related to food?

Solution 1:

In this sketch, "house" is being used in an idiomatic sense which normally means "defeat", or sometimes "upstage". In context, it refers to how the professor ate Dylan's burger quickly and aggressively.

This usage is chiefly seen in the context of organized sports. It refers to such things as a particularly quick or overwhelming defeat, a situation in which one party is obviously outmatched, or an exceptional competitive performance.

For example, Pat Forde of Sports Illustrated, writing in August 2021, describes a 41 to 14 loss as

[college football coach Brady] Hoke's Michigan squad got housed by Alabama to start his second season.

This meaning has been in use for at least a decade. In another example from a Sports Illustrated article, published in 2011, a play in an NFL game is described as

[Arizona Cardinals cornerback Patrick] Peterson housed his fourth punt return of the year Sunday against St. Louis, tying the league's single-season mark.

Solution 2:

Jonathon Green, Chambers Slang Dictionary (2008) says that house in the relevant sense goes back to the 1980s:

house v² {[from] house S[tandard E[nglish], to take into a house} 1 {1980s+} (US black/rap music) to take for oneself, to steal. 2 (1990s+) (US black) to go, to come or move towards. 3 (1990s+) (US teen) to give, to take or bring. 4 see GROUND v [going back to the 1950s, "(orig. US) (also house) to restrict someone, usu. an errant teenager, from enjoying their regular social life as a punishment for some real or imagined misdemeanour; usu. as grounded"].

Green distinguishes this set of meanings from two other forms of house as a verb in US slang:

house v¹ {abbr. of roughhouse v.} 1 {1980s} (US) to outdo, to defeat. 2 {1990s+} (US) to attach someone violently. 3 {1990s+} (US black) to take over, to exert one's authority.

and:

house v³ {? SE bring down the house} {1980s+} (US black/rap music) to excite and impress an audience.

With regard to the posted question, it seems fairly clear from the context that the meaning of housed as used in the video clip is "to take for oneself, to steal"; and if Green is correct, the usage arose in U.S. Black slang during the 1980s from the notion of taking something into a house in order to hide or possess it there.

I found two additional reference works—one from 1994 and the other from 2006 that have relevant entries for house as a verb. Geneva Smitherman, Black Talk: Words and Phrases from the Hood to the Amen Corner (1994) has this entry for house:

HOUSE 1) to take something from somebody; to take over, exert one's power. 2) See CLOWN ["To ridicule, humiliate. Also house."].

Randy Kearse, Street Talk (2006) asserts that the usage is primarily "east coast slang":

"{to} house {someone} v. (e. ciast sl.) old school | 1. to take someone's possessions by force, intimidation, or through manipulation; to bully someone out of something. ... ex: "I can't believe you let 'em house you."

These entries are consistent with Green's in terms of origin and meaning.