A History of Short Words

From the New York Times Crossword Puzzle

HINT

Sat, 8 Oct '22
Touch
Thu, 6 Oct '22
With 35-Down, some common attire for cooks
Sat, 13 Aug '22
Leave a small tip
Thu, 5 May '22
When doubled, not-so-subtle nudge
Thu, 22 Apr '21
Bit of help