Green’s Dictionary of Slang

point n.

1. [late 19C–1940s] the chin, the face, the nose.

2. [1930s+] (drugs) a hypodermic syringe.

3. [1940s+] (US) anyone standing guard or leading the way [milit. jargon point, the man walking at the head of a patrol; ult. ranching jargon point, the front of a herd].

4. [1960s] a nipple.

5. [1960s–70s] (gay) any form of writing implement.

In phrases

keep point (v.)

[1990s+] (US prison) to keep a lookout.

on point (adj.) [milit. point, the lead man of a patrol]

1. [1970s+] standing guard, keeping a lookout; thus run point, to take the lead.

2. [1990s+] alert, sharp, aware.

3. [2010s] (US campus) attractive, e.g. of a garment.

4. [2010s] (UK black) very important; first-rate.

SE in slang uses

In phrases

get points (v.) (also have points)

[late 19C+] to have an advantage.

give points (v.)

[late 19C] to permit an advantage to.

make points (v.) [basketball imagery]

[1960s+] (US) to give a good impression, to ‘score’ with someone.

work a point (v.) (also work points)

[late 19C+] (Aus.) to live by one’s wits, to take advantage by trickery and deception.