The quibbler gets Dan in a temper (6)
I believe the answer is:
pedant
'the quibbler' is the definition.
(I've seen this before)
'dan in a temper' is the wordplay.
'in' means one lot of letters goes inside another.
'a temper' becomes 'pet' (I can't explain this - if you can you should believe this answer much more).
'dan' placed into 'pet' is 'PEDANT'.
'gets' is the link.
Can you help me to learn more?
(Other definitions for pedant that I've seen before include "formalist" , "Know-all who insists on strict observance of rules" , "One is overly-concerned with detail" , "Person who pays too much attention to formal rules" , "Academic stickler" .)