The most common and most likely answer to this crossword clue is the 2 plus 4 letter word IN TURN
I've seen this crossword clue in The Daily Telegraph
I
N
T
U
R
N
More clues leading to the result IN TURN
- Following sequence from popular performance
- Put in prison, we hear, one after the other
- One of the trainee doctors you may see, it’s rumoured, sequentially
- Stylish act successively with no interruption
- Elected to go off one after the other
- Unit reformed our sailors, one after another
- One after another articulate apprentice
Buddy explains!

The straight part
We know that "One after another" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one after another = in turn.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.