Cloths for nose-wiping painfully chafed her skin (13)
I believe the answer is:
handkerchiefs
'cloths' is the definition.
(handkerchief is a kind of cloth)
'painfully chafed her skin' is the wordplay.
'painfully' indicates an anagram (letters get injured).
'chafed'+'her'+'skin'='chafedherskin'
'chafedherskin' is an anagram of 'HANDKERCHIEFS'.
'for nose-wiping' acts as a link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for handkerchiefs that I've seen before include "Pocket cloths" , "tissues" .)