Endless criticism follows head of household (8)
I believe the answer is:
domestic
'household' is the definition.
(similar in meaning)
'endless criticism follows head' is the wordplay.
'endless' means to remove the last letter.
'criticism' becomes 'stick' (as in giving someone stick).
'follows' says to put letters next to each other.
'head' becomes 'dome' (dome can informally mean someone's head).
'stick' with its final letter removed is 'stic'.
'stic' put after 'dome' is 'DOMESTIC'.
'of' is the link.
(Other definitions for domestic that I've seen before include "Used in the home" , "Household servant" , "Relating to the household" , "Servant - not foreign" , "Argument - in the home" .)