If i have thoracic outlet syndrome because of my brachial plexus, can my pinky go out for like 5min but regain it and it feel sluggish for about an hr?

Not quite.: Tos is usually characterized by neurologic symptoms in the distribution you describe but it normally involves more than the pinky finger.

Yes: Numbness in the 5th finger is a common symptoms of thoracic outlet syndrome (tos). To diagnosis tos most patients will also have symptoms of pain in the arm and/or neck, and weakness in the arm. Numbness and tingling also can occur in one or more fingers. The most common cause of tos in teen-agers is competitive sports causing pectoralis minor involvement. In adults neck injury is usual cause.