Name a countess always has (5)
I believe the answer is:
tessa
'name' is the definition.
'a countess always has' is the wordplay.
'has' indicates the answer is hidden within the clue.
'TESSA' is hidden in the letters of 'countess always'.
(Other definitions for tessa that I've seen before include "Tax-exempt special savings account" , "Girl's name; former savings account" , "Woman" , "Girl's name, forerunner of ISA" , "Dahl or Jowell" .)