In pursuit of some style, to some extent (5,1,7)
I believe the answer is:
after a fashion
'to some extent' is the definition.
(I've seen this before)
'in pursuit of some style' is the wordplay.
'in pursuit of' becomes 'after' (as in chasing after someone).
'some' becomes 'a'.
'style' becomes 'fashion' (fashion is a kind of style).
'after'+'a'+'fashion'='AFTER A FASHION'
(Other definitions for after a fashion that I've seen before include "To a certain extent" , "Lady shopping may be" , "like many boutique shoppers?" , "In some manner but not very well" , "Following a fad" .)