Green’s Dictionary of Slang

flame v.1

1. to spend extravagantly.

[Ire]J. O’Keeffe Fontainebleau in Dramatic Works (1798) II 248: I can’t fee any disgrace in [...] spunging upon my customers, and flaming it away in their old cloaths.

2. (US) to shoot a weapon.

[US]Somerset Herald 13 July 1/1: I cocks the old musket [...] I lays my finger on the trigger [...] I flames away.

3. to rant in an unacceptable manner, esp. to insult a specific individual, via a communications network, e.g. the Internet.

[Aus]R. Park Poor Man’s Orange 6: Mumma’s love retreated like a turtle into its shell. She flamed, ‘That’s right! Spend the night boozing instead of letting people know I’ve got a husband.’.
[US] (ref. to 1970s) E. Raymond New Hacker’s Dict. 158: Marc Ramsey, who was at WPI from 1972 to 1976, adds: ‘I am 99% certain that the use of flame originated at WPI. Those who made a nuisance of themselves insisting that they needed to use a TTY for “real work” came to be known as flaming asshole lusers. Other particularly annoying people became flaming asshole ravers, which shortened to flaming ravers, and ultimately flamers.’.
[US]Da Bomb 🌐 11: Flamed: Yelled at; criticized (taken from computer lingo).
[UK]Observer (London) 20 May 5/6: Many women in the mid-Nineties were put off the Internet [...] they would also go into chat rooms and get insulted — or flamed.

4. to talk nonsense about an otherwise interesting subject.

[US]Baker et al. CUSS 118: Flame To be obnoxiously loud esp. while under the influence of alcohol.

5. (US campus) to be sexually aroused, to flirt, esp. when drunk.

[US]Baker et al. CUSS.
[US]Current Sl. III:4 5: Flame, v. To become extremely affectionate, especially under the influence of alcohol (usually applied to women).

6. to exaggerate, to bore.

[US]Baker et al. CUSS 117: Flame Go wild.

In phrases

flame out (v.) [jet engine imagery]

(US) to become too exhausted to continue.

[US]D. Jenkins Semi-Tough 148: I’ve been gettin’ up for games for fifteen years and playin’ my ass off, and I’m gettin’ close to that time [...] when I’m gonna flame out’.
[US]A. Kirzman Giuliani xvi: He had flamed out as a presidential candidate.
flame up (v.)

(drugs) to smoke crack cocaine, or cocaine base.

[UK]K. Richards Life 433: He and Josephine and everybody else around him were freebasing [...] There’s somebody else flaming up in the bath.