Type of goat, latest of livestock, remains on edge when lifted (7)
I believe the answer is:
kashmir
'type of goat' is the definition.
'latest of livestock remains on edge when lifted' is the wordplay.
'latest of' says to take the final letters.
'remains' becomes 'ash' (remains of a fire).
'on' means one lot of letters go next to another.
'edge' becomes 'rim' (rim is a kind of edge).
'when lifted' shows that the letters should be reversed in order (in a down clue, letters go up).
The final letter of 'livestock' is 'k'.
'rim' reversed gives 'mir'.
'k'+'ash'+'mir'='KASHMIR'
(Other definitions for kashmir that I've seen before include "Region claimed by both India and Pakistan" , "Himalayan region" , "State" , "Disputed Asian territory" , "Region on the border of India and Pakistan" .)