Head of embroidery is after double thread (5)
I believe the answer is:
twine
'thread' is the definition.
(I've seen this in another clue)
'head of embroidery is after double' is the wordplay.
'head of' indicates taking the first letters.
'is after' is a charade indicator (letters next to each other).
'double' becomes 'twin' (twin can mean someone's double).
The initial letter of 'embroidery' is 'e'.
'e' after 'twin' is 'TWINE'.
(Other definitions for twine that I've seen before include "Thin cord" , "weaving" , "String of twisted fibres" , "Curl; string" , "Tough string" .)