Mean Kate is prepared to have some (7)
I believe the answer is:
'have some' is the definition.
(I've seen this in another clue)
'mean kate is prepared' is the wordplay.
'mean' becomes 'par' (I've seen this before).
'is prepared' is an anagram indicator.
'kate' anagrammed gives 'take'.
'to' is the link.
(Other definitions for partake that I've seen before include "try a few?" , "Be involved" , "Join (in an activity)" , "Share, consume" , "To take some (of food, etc)" .)