Crossword Genius

A lust that's understood (6)

Ross

I believe the answer is:

agreed

I'm a little stuck... Click here to teach me more about this clue!

'understood' is the definition.
(thesaurus)

'a lust' is the wordplay.
I cannot really see how this works, but
'a' is found in the answer.
The remaining letters 'greed' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

'that's' is the link.

Can you help me to learn more?

(Other definitions for agreed that I've seen before include "Consented and concurred" , "That's right" , "Accorded" , "Did concur" , "acceptable" .)

I've seen this clue in The Globe and Mail.
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