Green’s Dictionary of Slang

melodies n.

also melody lingers
[rhy. sl. abbr. melody lingers]

the fingers.

[UK]‘P.B. Yuill’ Hazell and the Three-card Trick (1977) 57: A wizard whose melody lingers could make cards stand on end and do back-springs.
[UK]P. Wright Cockney Dialect and Sl. 105: melodies ‘fingers’.