Irish in the US, remarkably hairy (7)
I believe the answer is:
hirsute
'hairy' is the definition.
('hirsute' can be a synonym of 'hairy')
'irish in the us remarkably' is the wordplay.
'irish' becomes 'ir' (abbreviation).
'in' indicates putting letters inside.
'remarkably' indicates anagramming the letters.
'the'+'us'='theus'
'theus' with letters rearranged gives 'hsute'.
'ir' inserted inside 'hsute' is 'HIRSUTE'.
(Other definitions for hirsute that I've seen before include "Covered with hair" , "Hairy and shaggy" , "covered in hairs" , "Furry" , "Bearded" .)