Can phlebitis in the arm caused by i.v.s come back?

Yes: The vein is inflamed and damaged. They can reoccur but more typically wax and wane. Treated is usually with warm or cold compresses, anti- inflammatory medications, and time. If not improving after several days - see your doctor.

Perhaps: The phlebitis caused by the IV is a local irritation of the vein due to the IV catheter, fluid type placed into the iv, and length of time the IV was present. This phlebitis can get infected and travel up the vein. Taking the IV out is the first step, and use heat, and tincture of time for resolution. Another IV is another site can result in another phlebitis, so pay attention to the causes.