Tea household worker left unfinished (3)
I believe the answer is:
cha
'tea' is the definition.
(cha is a type of tea)
'household worker left unfinished' is the wordplay.
'household worker' becomes 'char' (char can mean a cleaner).
'left unfinished' means to remove the last letter.
'char' with its last letter removed is 'CHA'.
(Other definitions for cha that I've seen before include "Rosie Lee (slang)" , "drink" , "Tea (colloq.)" , "not allowed in ski lodge" , "Tea (informal)" .)