More sensitive person making an offer (8)
I believe the answer is:
tenderer
'more sensitive' is the definition.
(I've seen this before)
'person making an offer' is the wordplay.
I cannot really see how this works, but
'person' could be 'end' (end is a kind of person) and 'end' is found within the answer.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for tenderer that I've seen before include "Bidder" , "one who holds out" , "Rather sympathetic" , "Not as tough" , "I'm offering" .)