Eager desire all right to go topless (5)
I believe the answer is:
greed
'eager desire' is the definition.
(I've seen this before)
'all right to go topless' is the wordplay.
I cannot quite understand how this works, but
'right' could be 'r' (common abbreviation) and 'r' is found in the answer.
The remaining letters 'geed' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for greed that I've seen before include "Gluttony" , "Wanting too much" , "Eager desire" , "Avarice, cupidity" , "Immoderate desire" .)