slow-walk · verb1
Attested since 1973 in Southern dialects of American English; prominent since the late 1990s. Thought by William Safire to derive from a Tennessee term for the walking gait of the Tennessee Walking Horse, which is generally called "flat walk", but sometimes a "slow walk".
slow-walk · verb2
Attested since 1962 in Southern (North and South Carolina) dialects of American English; of unknown origin.
Etymology from Wiktionary, CC BY-SA 4.0.