European province in movement making quick progress (6)
I believe the answer is:
danish
'european' is the definition.
(I've seen this before)
'province in movement making quick progress' is the wordplay.
'province' becomes 'ni' (I've seen this in other clues).
'in' means one lot of letters goes inside another.
'movement making quick progress' becomes 'dash'.
'ni' inserted inside 'dash' is 'DANISH'.
(Other definitions for danish that I've seen before include "Scandanavian, pastry perhaps" , "accompaniment to coffee" , "Popular piece of pastry" , "Native to Copenhagen" , "speech from Hamlet?" .)