rock up verb3 •(informal) To turn up at a place or function spontaneously or unexpectedly, without notice or prior warning.I'm sure the Brunel-designed stone-built structure would have had a hatstand for his trademark stovepipe. I can picture him rocking up there of a morning and lobbing it nonchalantly onto the hatstand. — 2021 •(slang) To turn powder cocaine into crack cocaine by cooking. •To work one's way vertically up a chimney or cleft using a rocking movement. formsrocked up · rocking up · rocks up