Russian writer, having invited press in, opening up (8)
I believe the answer is:
turgenev
'russian writer' is the definition.
(novelist Ivan Turgenev)
'invited press in opening up' is the wordplay.
'invited press' becomes 'urge' (synonyms. I am not sure about the 'invited' bit.).
'in' means one lot of letters goes inside another.
'opening' becomes 'vent' (vent is a kind of opening).
'up' says the letters should be written in reverse (in down clue: letters go upwards).
'vent' back-to-front is 'tnev'.
'urge' going into 'tnev' is 'TURGENEV'.
'having' is the link.
(Other definitions for turgenev that I've seen before include "River at Stratford" , "Ivan -------- (1818-1883), writer about Russian life as in Fathers and Sons" , "Dramatist" , "Ivan -, Russian novelist (Fathers and Sons)" , "Russian author (Fathers and Sons, Virgin Soil)" .)