Rent one's shed, sadly -- that sounds different! (4)
I believe the answer is:
tear
'one's shed sadly that sounds different' is the definition.
'tear' can be an answer for 'one's shed sadly' (you may shed tears when sad). I'm not certain of the rest of the definition.
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for tear that I've seen before include "Rip - drop from eye" , "Shred" , "Lachrymal drop - rip" , "A drop of optical moisture" , "Rush - to pull apart" .)