The standard stinky pinky is a two-word rhyming phrase such as FLOWER POWER or HAIRY LARRY. Common variations are achieved by inserting words such as THE or 'N' (as in SLICE IT 'n' ICE IT, to skin and freeze an animal, or CATCH the SCRATCH, to contract a case of poison ivy). Buzzwords (Crown Publishers, 1993) has a variety of unusual variations; a type-collection is given below.
Eckler, A. Ross
"Stinky Pinkies: Variations,"
Word Ways: Vol. 44
, Article 2.
Available at: https://digitalcommons.butler.edu/wordways/vol44/iss3/2