Backing my company after way of working leather (7)
I believe the answer is:
morocco
'leather' is the definition.
(I know that morocco is a type of leather)
'backing my company after way of working' is the wordplay.
'backing' says the letters should be written in reverse.
'my' becomes 'cor' (both are expressions of surprise).
'company' becomes 'co' (abbreviation).
'after' is a charade indicator (letters next to each other).
'way of working' becomes 'mo' (abbreviation for modus operandi).
'cor' backwards is 'roc'.
'roc'+'co'='rocco'
'rocco' put after 'mo' is 'MOROCCO'.
(Other definitions for morocco that I've seen before include "in which literature may be bound to sell" , "Rabat's country" , "Hide" , "Book's covering, perhaps" , "Soft leather used for in book binding" .)