The most common and most likely answer to this crossword clue is the 8 letter word SEQUENCE
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More clues leading to the result SEQUENCE
Buddy explains!

The straight part
We know that "order" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case order = sequence.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 SEQUENCE mean?
SEQUENCE noun- A set of things next to each other in a set order; a series
- The state of being sequent or following; order of succession.
- A series of musical phrases where a theme or melody is repeated, with some change each time, such as in pitch or length (example: opening of Beethoven's Fifth Symphony).
- A musical composition used in some Catholic Masses between the readings. The most famous sequence is the Dies Irae (Day of Wrath) formerly used in funeral services.
- An ordered list of objects, typically indexed with natural numbers.
- A subsequent event; a consequence or result.
- A series of shots that depict a single action or style in a film, television show etc.
- A meld consisting of three or more cards of successive ranks in the same suit, such as the four, five and six of hearts.
- To arrange in an order
- To determine the order of things, especially of amino acids in a protein, or of bases in a nucleic acid
- To produce (music) with a sequencer