Tactless remark about Irish beast (7)
I believe the answer is:
giraffe
'beast' is the definition.
(I've seen this before)
'tactless remark about irish' is the wordplay.
'tactless remark' becomes 'gaffe' (I've seen this before).
'about' is an insertion indicator.
'irish' becomes 'ir' (abbreviation).
'gaffe' going around 'ir' is 'GIRAFFE'.
(Other definitions for giraffe that I've seen before include "Tallest mammal" , "The animal might fear fig" , "one reaching highest places" , "Long-necked animal" , "Lofty browser's" .)