Writer going round street to find restaurant (6)
I believe the answer is:
bistro
'restaurant' is the definition.
(bistro is a kind of restaurant)
'writer going round street' is the wordplay.
'writer' becomes 'biro' (I've seen this before).
'going round' is an insertion indicator (some letters go around others).
'street' becomes 'st' (abbreviation).
'biro' going around 'st' is 'BISTRO'.
'to find' acts as a link.
(Other definitions for bistro that I've seen before include "Small bar-cum-restaurant" , "Small informal French restaurant" , "Cafe/restaurant" , "Modest restaurant" , "Orbits (anag)" .)