Hurriedly left without having eaten (4)
I believe the answer is:
fled
'hurriedly left' is the definition.
'fled' can be an answer for 'left' (fleeing is a kind of leaving). I'm not certain of the 'hurriedly' bit.
'without having eaten' is the wordplay.
'without' is an insertion indicator.
'having' becomes 'l' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'eaten' becomes 'fed' ('feed' can be a synonym of 'eat').
'l' put inside 'fed' is 'FLED'.
Can you help me to learn more?
(Other definitions for fled that I've seen before include "Ran off in a hurry" , "Left the field" , "Having run or hurried away" , "Did a runner" , "Ran or hurried away" .)