Green’s Dictionary of Slang

rosary man n.

[SE rosary, but why?]

(UK Und.) a confidence man who ensnares a victim by the fortuitous ‘dropping’ of a wallet.

[UK]V. Davis Phenomena in Crime 78: ‘Rosary men’ [...] are con-men who prowl the streets and gain introduction to a dupe by the old trick of dropping a wallet.