The most common and most likely answer to this crossword clue is the 13 letter word REINCARNATION
I've seen this crossword clue in The Daily Telegraph
R
E
I
N
C
A
R
N
A
T
I
O
N
More clues leading to the result REINCARNATION
- Check pink revised version
- Control plant, securing rebirth
- Check flower is forming anew
- Check flower is being brought back to life
- Check flower for evidence of new life
- Sacred belief in control over motor race
- Finding new body to control motor race
- Check flower and return
- New life for an incinerator that’s recycled
- Making a comeback, getting about in the pink?
Buddy explains!

The straight part
We know that "Making a comeback" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case making a comeback = reincarnation.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 REINCARNATION mean?
REINCARNATION noun- A rebirth of a soul, in a physical life form, such as a body.
- The philosophy of such a rebirth, a specific belief or doctrine on how such a rebirth occurs.
- A fresh embodiment.
- A new, considerably improved, version.