Green’s Dictionary of Slang

burner n.2

[SE burn]

1. (US) a cheap cigar.

L. Zinberg Walk Hard, Talk Loud 82: ‘They tell me you pick up ritzy cigar bands and stick them on five for a dime burners.’ [...] ‘So you think I’m a piker?’.

2. (US) a pipe.

[US] ‘Smokers’ Sl.’ in AS XV:3 Oct. 335/2: A pipe is a [...] burner.

3. (UK/US Und.) an expert in the use of an oxy-acetylene torch.

[US]H. Wilson ‘I Was King of the Safecrackers’ in Hamilton Men of the Und. 140: We were going to need burners for the big stuff.
[US]Goldin et al. DAUL 37/1: Burner. [...] 2. A safe-cracker who uses an oxy-acetylene torch.
[UK]P. Fordham Inside the Und. 35: The job was a good one [...] needing skilled burners.

4. an embarrassment [one’s cheeks ‘burn’].

[US]Mad mag. Apr.–May 10: I [sic] just so happens that my true identity is Clark Bent ... man assistant to the copy boy! Whata [sic] burner on you, huh!

5. (US gay) a cigarette.

[US]B. Rodgers Queens’ Vernacular.

6. (US black/teen) a large piece of graffiti, usu. involving many colours [one ‘burns’ it onto the wall and/or it glows with colour].

[US]W. Shaw Westsiders 367: He caught sight of a beautiful ‘burner’ down on the drab concrete walls [...] A ‘burner’ is the taggers’ name for one of those big, 15-foot-long works of art.
[US]J. Lethem Fortress of Solitude 134: These colors are the necessities for throwing up a burner, a top-to-bottom masterpiece of flaming 3-D letters.

7. see grease-burner under grease n.1

SE in slang uses

In phrases

cook on the front burner (v.)

see under cook v.1

go off one’s burner (v.)

to go mad.

[UK]A. Binstead Gal’s Gossip 97: When I first heard [...] that Laodamia had won, I thought I should go fairly off my burner for very joy!