Anger at getting only half the next answer (3)
I believe the answer is:
ire
'anger' is the definition.
(I've seen this before)
'getting only half the next answer' is the wordplay.
'getting' means one lot of letters go next to another.
'only' becomes 'mere' (I've seen this before).
'half' suggests halving the letters.
'the next answer' becomes 'i' (I can't justify this - if you can you should believe this answer much more).
'mere' with half the letters taken is 're'.
're' put after 'i' is 'IRE'.
'at' acts as a link.
Can you help me to learn more?
(Other definitions for ire that I've seen before include "Intense anger" , "Anger among admirers" , "Annoyance, vexation" , "'Anger, wrath (3)'" , "Outrage" .)