A shade insensitive (5)

I believe the answer is:

blind

I believe this clue is a double definition.

'a shade' is the first definition.
(thesaurus)

'insensitive' is the second definition.
(thesaurus)

(Other definitions for blind that I've seen before include "deception" , "Like a bat" , "cover-up" , "Unobserving" , "Window screen on a roller" .)

I've seen this clue in The Times.

Want a hint initially instead of a full solution? Install my app