Tease out primarily for Turtle and for the Mad Hatters
I believe the answer is:
tea set
'turtle and for the mad hatters' is the definition.
I can't tell whether this definition defines the answer.
'tease out primarily' is the wordplay.
'out primarily' becomes 't' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'tease'+'t'='TEA-SET'
'for' acts as a link.
Can you help me to learn more?
(Other definitions for tea set that I've seen before include "Collections of cups, saucers etc for serving light meal" , "Set of crockery for serving light meal" , "tableware" , "China for small meal" , "hot drink service" .)