The most common and most likely answer to this crossword clue is the 4 letter word WHIT
I've seen this crossword clue in The Times
W
H
I
T
More clues leading to the result WHIT
- Scrap old bank holiday
- When Christians celebrate Pentecost a bit
- Trifle with buffet
- Drop of whiskey and punch
- Jokes about horse getting the smallest bit imaginable
- Just a little festival
- Church festival is something of little importance
- A little humour takes hours
- Tiny amount of holiday in spring
- When Christians celebrate a bit
Buddy explains!

The straight part
We know that "Scrap/old bank holiday" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case scrap/old bank holiday = whit.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does WHIT mean?
WHIT noun- The smallest part or particle imaginable; an iota.
- Against.
- In the company of; alongside, close to; near to.
- In addition to; as an accessory to.
- Used to indicate simultaneous happening, or immediate succession or consequence.
- In support of.
- In regard to.
- To denote the accomplishment of cause, means, instrument, etc; – sometimes equivalent to by.
- Using as an instrument; by means of.
- Using as nourishment; more recently replaced by on.
- Having, owning.
- Affected by (a certain emotion or condition).
- Prompted by (a certain emotion).