Reportedly nailed sensitivity (4)
I believe the answer is:
tact
'sensitivity' is the definition.
(being tactful is being sensitive)
'reportedly nailed' is the wordplay.
'reportedly' shows a homophone (sound like).
'nailed' becomes 'tacked'.
'tacked' sounds like 'TACT'.
(Other definitions for tact that I've seen before include "measure of diplomacy?" , "Consideration in dealing with others" , "Sensitivity, diplomacy" , "Skill in dealing with people" , "Sensitivity (in dealing with others)" .)