It may be that your hand is suffering from a pinched nerve or shoulder injury. I have bursitis in my right shoulder, and when I don't practice good running form, it catches up with me in my hand. The tingling is relieved by shoulder stretches before and after running, and by awareness of arm and hand position while running. I'd have a dr check you out to be sure its nothing serious. My doc said the feeling was due to nerves being pinched because of the bursitis inflammation. My only solution has been to ice my shoulder and stretch it out daily. Good luck !