Slang. to dance, especially to tap-dance: He's been hoofing at the Palladium.
Idiom
7.
on the hoof, (of livestock) not butchered; live: The city youngsters were seeing lambs on the hoof for the first time.
Origin: before 1000; Middle English (noun); Old English hōf; cognate with Old Frisian hōf,Dutch hoef,German Huf,Old Norse hōfr; compare Sanskrit śaphas
O.E. hof, from P.Gmc. *khofaz (cf. O.Fris. hof, Dan. hov, Du. hoef, Ger. Huf "hof"), from PIE *kopos (cf. Skt. saphah "hoof"). For spelling, see hood. Sense of "to walk" (hoof it) is first attested 1641; "to dance" is 1921 Amer.Eng. (in hoofer).