Row One — no good for eating (6)
'eating' is the definition.
(dining is a kind of eating)
'row one no good' is the wordplay.
'row' becomes 'din' (both can mean a loud disturbance**).
'one' becomes 'i' (Roman numeral).
'no' becomes 'n' (common abbreviation).
'good' becomes 'g' (abbreviation).
'for' acts as a link.
(Other definitions for dining that I've seen before include "This room is for eating in", "Eating the evening meal", "Making a meal of", "Type of room, car, table", "Eating main meal".)