When it comes to violin music, a piece can refer to a solo violin composition, a violin concerto (which features the violin as the solo instrument), or a movement within a larger work that includes the violin. For example, the famous "Violin Concerto in E minor" by Niccolò Paganini is a piece that features the violin as the solo instrument, while the "Andante" movement from the "Symphony No. 3" by Ludwig van Beethoven is a movement that includes the violin as part of the orchestra.
So, in summary, the term "piece" can refer to a complete violin composition or a section of a larger work, while a "movement" is a specific section or part of a larger composition that includes the violin.