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Douglas Harper's Etymology Dictionary
strapline

1960, in typography, "subhead above the main head," from strap (n.) + line (n.). In reference to a woman's undergarments, by 1973.

Wiktionary
strapline

n. 1 A secondary heading, especially one printed above another 2 (context British English) A memorable slogan attached to a commercial brand

Usage examples of "strapline".

In fact he has an encyclopedic knowledge of slogans and straplines, including one or two of my own.