A little tear? (5)
I believe the answer is:
shred
I believe this is a double definition.
'a little' is the first definition.
'tear?' is the second definition.
(shredding is a kind of tearing)
(Other definitions for shred that I've seen before include "Cut up; a small amount" , "(Reduce to) small piece(s)" , "Cut into small pieces" , "Cut finely" , "just a touch" .)