The most common and most likely answer to this crossword clue is the 10 letter word AFTERTASTE
I've seen this crossword clue in The Times
A
F
T
E
R
T
A
S
T
E
More clues leading to the result AFTERTASTE
- Smack on behind produces lingering sensation
- Attest fear about sensation after meal
- Fantastic treat with feast leaving residual sensation
- Star at fete produced a sensational finish
- It can be bitter, being in pursuit of liberal state
- Fattest are prepared for a sensational finish
- A lasting reminder of a meal?
- Behind gets a smack, leaving a lingering sensation
- Lingering impression of a fat setter in bits
- Behind gets a smack — you’ll be aware of it later
Buddy explains!

The straight part
We know that "lingering sensation" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case lingering sensation = aftertaste.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 AFTERTASTE mean?
AFTERTASTE noun- A taste of something that persists when it is no longer present.
- The persistence of the taste of something no longer present.
- Of wine, finish.