Green’s Dictionary of Slang

sneeze n.²

an arrest.

1937		B. Dai Opium Addiction in Chicago 203: Sneeze. An arrest.
1939		R. Chandler ‘Pearls Are a Nuisance’ in Spanish Blood (1946) 103: I wouldn’t decidedly be holed up in no cheap flop in L. A. waiting for a couple carloads of johns to put the sneeze on me.
1989		J. Morton Lowspeak 130: Sneeze – an arrest.