The most common and most likely answer to this crossword clue is the 11 letter word THREE-PIECE
I've seen this crossword clue in Financial Times
T
H
R
E
E
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P
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E
More clues leading to the result THREE-PIECE
Buddy explains!

The straight part
We know that "sort of suite or suit" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case sort of suite or suit = three-piece.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.