See one's furlough cut (6)
I believe the answer is:
cleave
'cut' is the definition.
(thesaurus)
'see one's furlough' is the wordplay.
'see one's' becomes 'c' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'furlough' becomes 'leave' (I've seen this before).
'c'+'leave'='CLEAVE'
Can you help me to learn more?
(Other definitions for cleave that I've seen before include "Split as with axe" , "Unite together; split apart" , "Adhere - or chop as with axe" , "Open" , "Chop or split" .)