Insensitive visit with nothing offered to you and me (7)
I believe the answer is:
callous
'insensitive' is the definition.
('callous' can be similar in meaning to 'insensitive')
'visit with nothing offered to you and me' is the wordplay.
'visit' becomes 'call' ('call' can be a synonym of 'visit').
'with nothing' becomes 'o' (I've seen this in other clues).
'offered to' is a charade indicator (letters next to each other).
'you and me' becomes 'us'.
'call'+'o'+'us'='CALLOUS'
(Other definitions for callous that I've seen before include "Insensitive, cruel" , "Cruel or unsympathetic" , "Hard and unfeeling" , "Cruelly unfeeling" , "Hard-hearted" .)