That somewhat rigorous Russian! (4)
I believe the answer is:
igor
'russian' is the definition.
(common Russian name)
'that somewhat rigorous' is the wordplay.
'that somewhat' indicates a hidden word.
'IGOR' is hidden in the letters of 'rigorous'.
(Other definitions for igor that I've seen before include "-- Stravinsky, composer" , "Card game" , "Prince of Russian opera" , "Maybe 8 [SIKORSKY]" , "Prince of grand opera" .)