The extensible intravenous (“i.v.”) drip line tubing uses a helical accordion support structure on which the i.v. tubing is attached. The helical accordion backbone has some tendency to spring back, but this is not relied upon to extend and return the i.v. tubing it carries. The carrier structure keeps the i.v. tubing from getting tangle or kinked. A centrally located retractable line, which is located within the center of the helical accordion structure, acts as the retracting mechanism, as it tends to allow the accordion structure to be pulled into an extended position, while upon rewinding the central cord, the helical accordion support structure can be pushed toward a collapsed position without the i.v. drip line tubing becoming tanked, kinked, and thereby blocked. As a safety feature, so the i.v. line does not encounter and strain between it and the point of entry of the i.v. line into the patient, is one or more wrist and or armbands to which the i.v. carrier is attached by a short, strong line.