By the late 1890s, when Squire was employed by the Queen’s Hall Orchestra, he was already busy publishing a great deal of cello and piano music. He preferred to write small-scale works for one or two performers most likely written for cello students or for his own performances at London concert halls. He is not known to have written any large scale works such as symphonies, operas, cantatas, or ballets. His pieces for cello and piano can almost entirely be characterized as light, short "character pieces".