The most common and most likely answer to this crossword clue is the 5 letter word SAPID
I've seen this crossword clue in The Guardian
S
A
P
I
D
More clues leading to the result SAPID
Buddy explains!

The straight part
We know that "Tasty" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case tasty = sapid.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 SAPID mean?
SAPID adjective- Tasty, flavoursome or savoury