Aware of Miami's banks and primarily Lloyd's absorbing slush fund (7)
I believe the answer is:
mindful
'aware of' is the definition.
(thesaurus)
I cannot understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for mindful that I've seen before include "Aware (of something)" , "Aware and cognizant" , "Taking care" , "Taking heed" , "Conscious (of); remembering" .)