Greeting cut short in terrible place (4)
I believe the answer is:
hell
'terrible place' is the definition.
'hell' can be an answer for 'place' (I have seen 'Infernal place' mean 'hell' so perhaps 'place' could also mean 'hell'). I am not certain of the 'terrible' bit.
'greeting cut short' is the wordplay.
'greeting' becomes 'hello' (hello is a kind of greeting).
'cut short' means to remove the last letter.
'hello' with its final letter removed is 'HELL'.
'in' is the link.
Can you help me to learn more?
(Other definitions for hell that I've seen before include "Place of vice, misery or turmoil" , "Infernal place" , "Tartarus, of myth" , "Abode of the forces of evil" , "Beelzebub's home" .)