Green’s Dictionary of Slang

pancrack n.

[ety. unknown; ? fig. link to Dev. dial. pancrock, a skirt with folds]

the social security or the dole office.

[UK](con. 1920s) P. Barker Liza’s England (1996) 157: She tried to get money on the pancrack, but they took a lot of convincing [...] ‘Find your husband,’ they said.
[UK]B. Hare Urban Grimshaw viii: Pancrack Dole office, DHSS.