Alec baked Irish cake (6)
I believe the answer is:
eclair
'cake' is the definition.
(eclair is a type of cake)
'alec baked irish' is the wordplay.
'baked' indicates anagramming the letters.
'irish' becomes 'IR' (abbreviation for Irish).
'alec' with letters rearranged gives 'ecla'.
'ecla'+'ir'='ECLAIR'
(Other definitions for eclair that I've seen before include "Oblong cream puff" , "Finger-shaped cake with cream filling" , "Type of cream cake" , "teatime treat?" , "Finger-shaped, chocolate-iced, cream-filled cake" .)