Green’s Dictionary of Slang

cobweb n.

SE in slang uses

In compounds

cobweb-pretence (n.) [such ruses are utterly insubstantial]

an inadequate ruse, a plot that can be detected simply.

[UK]B.E. Dict. Canting Crew n.p.: Cobweb-pretence, slight, trivial, weak.
[UK]New Canting Dict.
[UK]Morn. Chron. (London) 28 Feb. 2/5: Persons who ended their inflammatory and exaggerated addresses with a cobweb pretence of wishing for tranquility.
cobweb warehouse (n.)

an inferior, probably corrupt, gambling club.

Guards 51: [T]he common hells, the rookeries and pigeon- holes, cobweb warehouses and fly-traps, where the Greek committee sits nightly.

In phrases

have cobwebs (v.)

(US campus) to have lived a celibate life for a long time.

[US] P. Munro Sl. U.