The most common and most likely answer to this crossword clue is the 4 plus 6 letter word COLD TURKEY
I've seen this crossword clue in Financial Times
C
O
L
D
T
U
R
K
E
Y
More clues leading to the result COLD TURKEY
- Old year tuck that’s unhooked a freak
- Unsympathetic country offering unpleasant cure for addiction
- The effect of giving up meat the day after Christmas?
- Boxing Day fare that might be imposed on trippers?
- Sudden withdrawal of post-Christmas sandwich?
- Sudden purging such as you may get in November?
- Unfriendly bird’s way to kick horse, say
- Daughter in possession of coke truly suffering withdrawal symptoms
- Desperately giving up the Boxing Day diet?
- Bad result of withdrawal from unfriendly country
Buddy explains!
The straight part
We know that "The effect of giving up" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case the effect of giving up = cold turkey.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.