Painter like Picasso, bachelor, lives in style (6)
I believe the answer is:
cubist
'painter like picasso' is the definition.
(I've seen this before)
'bachelor lives in style' is the wordplay.
'bachelor' becomes 'b' (abbreviation e.g. BA=Bachelor of Arts).
'lives' becomes 'is' ('be' can be a synonym of 'live').
'in' means one lot of letters goes inside another.
'style' becomes 'cut' (cut is a kind of style**).
'b'+'is'='bis'
'bis' going inside 'cut' is 'CUBIST'.
(Other definitions for cubist that I've seen before include "Early twentieth century style painter" , "Painter like Picasso" , "Picasso, e.g." , "modern artist" , "Artist of geometrical figures" .)