Selfish desire tallied, but not initially (5)
I believe the answer is:
greed
'selfish desire' is the definition.
(I've seen this before)
'tallied but not initially' is the wordplay.
'tallied' becomes 'agreed' ('agree' can be a synonym of 'tally').
'but not initially' means to remove the first letter.
'agreed' with its initial letter taken off is 'GREED'.
(Other definitions for greed that I've seen before include "Covetousness" , "Rapacious desire" , "Avidity" , "Wanting too much" , "Avarice, cupidity" .)