Little finger = ulnar nerve.
C8-T1 are the roots of the ulnar nerve, which is a branch of the medial cord. The ulnar nerve is not found in the carpal tunnel (the medial nerve is).
Ulnar n. damage can lead to loss of wrist flexion and adduction, flexion of medial fingers, abduction and adduction of fingers (interossei), actions of medial 2 lumbrical muscles. Loss of sensation over medial 1 1/2 fingers, including hypothenar eminence.