Go to a small street for a meeting (5)
I believe the answer is:
tryst
'for a meeting' is the definition.
(tryst is a kind of meeting)
'go to a small street' is the wordplay.
'go' becomes 'try' (both can mean an attempt).
'to a small street' becomes 'st' (abbreviation; 'small' asks for a short form).
'try'+'st'='TRYST'
(Other definitions for tryst that I've seen before include "Pre-arranged (secret) meeting" , "Secret assignment" , "Romantic meeting" , "private meeting" , "Secret assignation" .)