Goat slept while being abducted (9)
I believe the answer is:
kidnapped
'abducted' is the definition.
(I've seen this before)
'goat slept' is the wordplay.
'goat' becomes 'kid' (kid is a kind of goat).
'slept' becomes 'napped' (napping is a kind of sleeping).
'kid'+'napped'='KIDNAPPED'
'while being' acts as a link.
(Other definitions for kidnapped that I've seen before include "Book by Stevenson" , "novel for a boy" , "Classic novel" , "Taken prisoner for ransom - R. L. Stevenson novel" , "Abducted" .)