Green’s Dictionary of Slang

flat fuck n.

[flat fuck v.]

(gay) sexual relations between two women, rubbing their bodies together.

[US]Maledicta IV:2 (Winter) 197: Though this practice [i.e. French kissing] may best be seen amongst lesbians or others who prefer soixante-neuf to a flat fuck (soixante-neuf is mutual growl-biting).