Cry of anguish during row - becoming more sensitive (8)
I believe the answer is:
touchier
'more sensitive' is the definition.
('touchy' can be similar in meaning to 'sensitive')
'cry of anguish during row' is the wordplay.
'cry of anguish' becomes 'ouch' (I can't explain this - if you can you should give a lot more credence to this answer).
'during' indicates putting letters inside.
'row' becomes 'tier' (tier is a kind of row).
'ouch' placed into 'tier' is 'TOUCHIER'.
'becoming' is the link.
Can you help me to learn more?
(Other definitions for touchier that I've seen before include "more sensitive" , "More easy to upset" .)