The most common and most likely answer to this crossword clue is the 5 letter word KULFI
I've seen this crossword clue in The Guardian
K
U
L
F
I
Buddy explains!
The straight part
We know that "pudding" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case pudding = kulfi.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 KULFI mean?
KULFI noun- A flavoured frozen dessert of South Asia, made from milk and resembling ice cream.