Tea with little butter and Irish unleavened bread (7)
I believe the answer is:
chapati
'unleavened bread' is the definition.
(type of Indian bread)
'tea with little butter' is the wordplay.
'tea' becomes 'chai' (I've seen this before).
'with' indicates putting letters inside.
'little butter' becomes 'pat' (a pat can mean a lump of butter. I am not sure about the 'little' bit.).
'chai' going around 'pat' is 'CHAPATI'.
'and irish' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for chapati that I've seen before include "Indian pancake" , "Indian food" , "Piece of bread (Indian)" , "I may be taken in with Indian" , "Unleavened bread of the subcontinent" .)