This person inspired by extremes of minimalist artist (5)
I believe the answer is:
monet
'artist' is the definition.
(I've seen this before)
'this person inspired by extremes of minimalist' is the wordplay.
'this person' becomes 'one' (I've seen this in other clues).
'inspired by' means one lot of letters goes inside another (some letters breathed in or 'inspired' by others).
'extremes of' says to hollow out the word (remove centre letters).
'minimalist' with its middle removed is 'mt'.
'one' put into 'mt' is 'MONET'.
(Other definitions for monet that I've seen before include "Claude -, French artist" , "'Water Lilies' 13ac" , "French artist shown in ..." , "Met no impressionist painter" , "Claude ---, painter (waterlilies)" .)