Elbow soreness that is caused from boxing training could be a potentially serious issue caused by ligament or tendon damage. The elbow is a dynamic joint with a lot of muscles and bones and wires and stuff, and is subsequently prone to trouble. When a problem occurs, rest is essential until the soreness goes away. If the pain doesn't alleviate after about two weeks, or if you suspect a serious injury, you should visit your doctor. Upon return to training, care should be taken to avoid re-injury.
Your elbow could become strained from improper jab technique. Consult your trainer to make sure you’re ALWAYS using proper form to avoid injury.
It is fairly easy to hyperextend your elbow during shadow boxing and this can cause severe soreness later. When shadow boxing, be sure to use your imagination to “see” an opponent and find your target just as you would with a real opponent - at least an inch or two short of a fully extended punch. Also try to limit the intensity slightly when throwing punches that do not connect with a target so to further avoid stressing the soft and connective tissues of your arms.
Equally, your elbow could become strained from improper jab technique. The elbow should only be activated to rotate your forearm as you move through the punch. The real power of a proper jab should be coming from your shoulder (and your hips). Consult your trainer to make sure you’re ALWAYS using proper form to avoid possible injury and also to put an end to any lazy, ineffective jabs! And of course always use good quality protective gear - don’t skimp.
Finally, be patient when recovering from an elbow injury. Like a knee, the elbow is a complex area that gets a lot of activity, which makes a strain very easy to aggravate. Use good sense and listen to your body as you return to training.