Green’s Dictionary of Slang

beam v.1

also beam on
[obs. SE beam, to shed light upon]
(US black)

1. to look at, to stare.

[US]E. Torres Q&A 191: When Guido beams on you, your balls gonna turn into grapefruit pits and you gonna get lockjaw of the elbow.

2. in fig. use, to ascertain what is happening.

[US] in ‘Jiver’s Bible’ in D. Burley Orig. Hbk of Harlem Jive.

In phrases

beam out (v.)

(US campus) to daydream [i.e. to stare into the middle distance].

[US]Eble Campus Sl. Sept. 1: beam out – daydream: Oh, I’m sorry – I was beaming out for a minute and didn’t hear what you said.
[US]Eble Sl. and Sociability 30: In college slang out is the most productive particle: beam out ‘daydream’.