Dispense with cream that covers Mina (9)
I believe the answer is:
eliminate
'dispense' is the definition.
(thesaurus)
'cream that covers mina' is the wordplay.
'cream' becomes 'elite' (as in the cream of the crop).
'that covers' means one lot of letters goes inside another.
'elite' going around 'mina' is 'ELIMINATE'.
'with' is the link.
(Other definitions for eliminate that I've seen before include "Eradicate" , "Discard - exclude" , "put out" , "Remove from contention" , "Exclude from further stage of competition" .)