Agreeable writer's drawn into quarrel with name-dropping star (9)
I believe the answer is:
simpatico
'agreeable' is the definition.
(I've seen this in another clue)
'writer's drawn into quarrel with name-dropping star' is the wordplay.
I cannot quite see how this works, but
'writer's' could be 'im' ('I am' referring to the writer of the clue) and 'im' is located in the answer.
'quarrel' could be 'spat' (spatting is a kind of quarrelling) and 'spat' is found within the remaining letters.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for simpatico that I've seen before include "Pleasant" , "Congenial company" , "Nice" , "pleasing" , "Likeable, easy to get on with" .)