1.
Late-night is used to describe events, especially entertainments, that happen late in the evening or late at night.
...John Peel’s ~ show on BBC Radio One.
...~ drinking parties.
ADJ: ADJ n
2.
Late-night is used to describe services that are available late at night and do not shut when most commercial activities finish.
Saturday night was a ~ shopping night.
...~ trains.
ADJ: ADJ n