Get rid of money — that is right (7)
I believe the answer is:
cashier
'get rid of' is the definition.
(cashiering is a kind of getting rid of)
'money that is right' is the wordplay.
'money' becomes 'cash' (cash is a type of money).
'that is' becomes 'ie' (short for Latin 'id est', 'that is').
'right' becomes 'r' (common abbreviation).
'cash'+'ie'+'r'='CASHIER'
(Other definitions for cashier that I've seen before include "One handles the money" , "One working till" , "employee accepting money" , "one taking money" , "Drum out of the army" .)