Prime cut behind pig's head — remove its skin (7)
I believe the answer is:
prepare
'prime' is the definition.
(thesaurus)
'cut behind pig's head remove its skin' is the wordplay.
'cut' becomes 'pare' (paring is a kind of cutting).
'behind' is a charade indicator (letters next to each other).
'head' says to take the initial letters.
'its skin' says to hollow out the word (remove centre letters) (only the skin or outside of the word is used).
'remove' with its middle taken out is 're'.
The first letter of 'pigs' is 'p'.
'p'+'re'='pre'
'pare' put after 'pre' is 'PREPARE'.
(Other definitions for prepare that I've seen before include "study" , "Make (something) ready" , "Fit out" , "[GET READY] (3 of 3)" , "Make ready or suitable" .)