That lady would lose hair (4)
I believe the answer is:
shed
'lose hair' is the definition.
'shed' can be an answer for 'lose' (I've seen this before). I am unsure of the 'hair' bit.
'that lady would' is the wordplay.
'that lady' becomes 'she' (I've seen this in another clue).
'would' becomes 'd' (I've seen this in other clues).
'she'+'d'='SHED'
Can you help me to learn more?
(Other definitions for shed that I've seen before include "Drop; outhouse" , "Basic building" , "Barn" , "Simple building; discard" , "Take off in hut?" .)