"Dancing attendance on" is an old-fashioned phrase meaning to wait upon someone attentively and obsequiously. There are several synonyms that can be used instead of this archaic expression. These include the phrase "catering to," meaning to provide for someone's needs or demands. Another synonym is "fawning over," meaning to show excessive flattery or sycophantic behavior towards someone. The phrase "pandering to" can also be used, meaning to indulge someone's desires or whims, often in a low or base manner. Finally, the phrase "kowtowing to" can be used to convey the idea of showing excessive submission or deference to someone.